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Finding the Fourth Proportional to 6,539.25, 9,022.98 and 4,549.08

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Solution

The fourth proportional to 6,539.25, 9,022.98 and 4,549.08 is: 6,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.25 : 9,022.98 = 4,549.08 : x
  2. Step 2: Convert to fraction form
    6,539.25/9,022.98 = 4,549.08/x
  3. Step 3: Cross multiply
    6,539.25x = 9,022.98 × 4,549.08
  4. Step 4: Simplify right side
    6,539.25x = 41,046,257.86
  5. Step 5: Solve for x
    x = 41,046,257.86/6,539.25
  6. Step 6: Final answer
    x = 6,276.91

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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.