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Finding the Fourth Proportional to 4,098.51, 5,654.14 and 2,527.52

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Solution

The fourth proportional to 4,098.51, 5,654.14 and 2,527.52 is: 3,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.51 : 5,654.14 = 2,527.52 : x
  2. Step 2: Convert to fraction form
    4,098.51/5,654.14 = 2,527.52/x
  3. Step 3: Cross multiply
    4,098.51x = 5,654.14 × 2,527.52
  4. Step 4: Simplify right side
    4,098.51x = 14,290,917.34
  5. Step 5: Solve for x
    x = 14,290,917.34/4,098.51
  6. Step 6: Final answer
    x = 3,486.86

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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.