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Finding the Fourth Proportional to 3,542.54, 5,312.99 and 1,043.08

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Solution

The fourth proportional to 3,542.54, 5,312.99 and 1,043.08 is: 1,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.54 : 5,312.99 = 1,043.08 : x
  2. Step 2: Convert to fraction form
    3,542.54/5,312.99 = 1,043.08/x
  3. Step 3: Cross multiply
    3,542.54x = 5,312.99 × 1,043.08
  4. Step 4: Simplify right side
    3,542.54x = 5,541,862.93
  5. Step 5: Solve for x
    x = 5,541,862.93/3,542.54
  6. Step 6: Final answer
    x = 1,564.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.