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Finding the Fourth Proportional to 3,700.98, 5,539.14 and 3,085.92

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Solution

The fourth proportional to 3,700.98, 5,539.14 and 3,085.92 is: 4,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.98 : 5,539.14 = 3,085.92 : x
  2. Step 2: Convert to fraction form
    3,700.98/5,539.14 = 3,085.92/x
  3. Step 3: Cross multiply
    3,700.98x = 5,539.14 × 3,085.92
  4. Step 4: Simplify right side
    3,700.98x = 17,093,342.91
  5. Step 5: Solve for x
    x = 17,093,342.91/3,700.98
  6. Step 6: Final answer
    x = 4,618.60

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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.