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Finding the Fourth Proportional to 5,340.72, 8,009.64 and 2,262

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Solution

The fourth proportional to 5,340.72, 8,009.64 and 2,262 is: 3,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.72 : 8,009.64 = 2,262 : x
  2. Step 2: Convert to fraction form
    5,340.72/8,009.64 = 2,262/x
  3. Step 3: Cross multiply
    5,340.72x = 8,009.64 × 2,262
  4. Step 4: Simplify right side
    5,340.72x = 18,117,805.68
  5. Step 5: Solve for x
    x = 18,117,805.68/5,340.72
  6. Step 6: Final answer
    x = 3,392.39

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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.