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Finding the Fourth Proportional to 5,804.85, 8,712.14 and 4,424.61

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Solution

The fourth proportional to 5,804.85, 8,712.14 and 4,424.61 is: 6,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.85 : 8,712.14 = 4,424.61 : x
  2. Step 2: Convert to fraction form
    5,804.85/8,712.14 = 4,424.61/x
  3. Step 3: Cross multiply
    5,804.85x = 8,712.14 × 4,424.61
  4. Step 4: Simplify right side
    5,804.85x = 38,547,799.64
  5. Step 5: Solve for x
    x = 38,547,799.64/5,804.85
  6. Step 6: Final answer
    x = 6,640.62

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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.