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Finding the Fourth Proportional to 4,637.71, 6,400.05 and 2,541.83

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Solution

The fourth proportional to 4,637.71, 6,400.05 and 2,541.83 is: 3,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.71 : 6,400.05 = 2,541.83 : x
  2. Step 2: Convert to fraction form
    4,637.71/6,400.05 = 2,541.83/x
  3. Step 3: Cross multiply
    4,637.71x = 6,400.05 × 2,541.83
  4. Step 4: Simplify right side
    4,637.71x = 16,267,833.56
  5. Step 5: Solve for x
    x = 16,267,833.56/4,637.71
  6. Step 6: Final answer
    x = 3,507.73

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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.