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Finding the Fourth Proportional to 3,542.98, 4,889.66 and 2,645.16

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Solution

The fourth proportional to 3,542.98, 4,889.66 and 2,645.16 is: 3,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.98 : 4,889.66 = 2,645.16 : x
  2. Step 2: Convert to fraction form
    3,542.98/4,889.66 = 2,645.16/x
  3. Step 3: Cross multiply
    3,542.98x = 4,889.66 × 2,645.16
  4. Step 4: Simplify right side
    3,542.98x = 12,933,950.18
  5. Step 5: Solve for x
    x = 12,933,950.18/3,542.98
  6. Step 6: Final answer
    x = 3,650.58

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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.