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Finding the Fourth Proportional to 4,637.43, 6,407.76 and 3,650.55

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Solution

The fourth proportional to 4,637.43, 6,407.76 and 3,650.55 is: 5,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.43 : 6,407.76 = 3,650.55 : x
  2. Step 2: Convert to fraction form
    4,637.43/6,407.76 = 3,650.55/x
  3. Step 3: Cross multiply
    4,637.43x = 6,407.76 × 3,650.55
  4. Step 4: Simplify right side
    4,637.43x = 23,391,848.27
  5. Step 5: Solve for x
    x = 23,391,848.27/4,637.43
  6. Step 6: Final answer
    x = 5,044.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.