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Finding the Fourth Proportional to 3,542.98, 5,312.93 and 1,077.22

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Solution

The fourth proportional to 3,542.98, 5,312.93 and 1,077.22 is: 1,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.98 : 5,312.93 = 1,077.22 : x
  2. Step 2: Convert to fraction form
    3,542.98/5,312.93 = 1,077.22/x
  3. Step 3: Cross multiply
    3,542.98x = 5,312.93 × 1,077.22
  4. Step 4: Simplify right side
    3,542.98x = 5,723,192.78
  5. Step 5: Solve for x
    x = 5,723,192.78/3,542.98
  6. Step 6: Final answer
    x = 1,615.36

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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.