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Finding the Fourth Proportional to 5,663,435.76, 8,489,465.22 and 1,822,435.20

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Solution

The fourth proportional to 5,663,435.76, 8,489,465.22 and 1,822,435.20 is: 2,731,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,435.76 : 8,489,465.22 = 1,822,435.20 : x
  2. Step 2: Convert to fraction form
    5,663,435.76/8,489,465.22 = 1,822,435.20/x
  3. Step 3: Cross multiply
    5,663,435.76x = 8,489,465.22 × 1,822,435.20
  4. Step 4: Simplify right side
    5,663,435.76x = 15,471,500,246,103.74
  5. Step 5: Solve for x
    x = 15,471,500,246,103.74/5,663,435.76
  6. Step 6: Final answer
    x = 2,731,822.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.