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Finding the Fourth Proportional to 4,538.52, 6,263.16 and 2,549.16

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Solution

The fourth proportional to 4,538.52, 6,263.16 and 2,549.16 is: 3,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.52 : 6,263.16 = 2,549.16 : x
  2. Step 2: Convert to fraction form
    4,538.52/6,263.16 = 2,549.16/x
  3. Step 3: Cross multiply
    4,538.52x = 6,263.16 × 2,549.16
  4. Step 4: Simplify right side
    4,538.52x = 15,965,796.95
  5. Step 5: Solve for x
    x = 15,965,796.95/4,538.52
  6. Step 6: Final answer
    x = 3,517.84

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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.