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Finding the Fourth Proportional to 5,613.84, 8,425.80 and 2,693.16

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Solution

The fourth proportional to 5,613.84, 8,425.80 and 2,693.16 is: 4,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.84 : 8,425.80 = 2,693.16 : x
  2. Step 2: Convert to fraction form
    5,613.84/8,425.80 = 2,693.16/x
  3. Step 3: Cross multiply
    5,613.84x = 8,425.80 × 2,693.16
  4. Step 4: Simplify right side
    5,613.84x = 22,692,027.53
  5. Step 5: Solve for x
    x = 22,692,027.53/5,613.84
  6. Step 6: Final answer
    x = 4,042.16

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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.