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Finding the Fourth Proportional to 3,542.71, 4,888.64 and 2,050.72

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Solution

The fourth proportional to 3,542.71, 4,888.64 and 2,050.72 is: 2,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.71 : 4,888.64 = 2,050.72 : x
  2. Step 2: Convert to fraction form
    3,542.71/4,888.64 = 2,050.72/x
  3. Step 3: Cross multiply
    3,542.71x = 4,888.64 × 2,050.72
  4. Step 4: Simplify right side
    3,542.71x = 10,025,221.57
  5. Step 5: Solve for x
    x = 10,025,221.57/3,542.71
  6. Step 6: Final answer
    x = 2,829.82

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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.