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Finding the Fourth Proportional to 5,107.52, 7,656.66 and 3,548.26

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Solution

The fourth proportional to 5,107.52, 7,656.66 and 3,548.26 is: 5,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.52 : 7,656.66 = 3,548.26 : x
  2. Step 2: Convert to fraction form
    5,107.52/7,656.66 = 3,548.26/x
  3. Step 3: Cross multiply
    5,107.52x = 7,656.66 × 3,548.26
  4. Step 4: Simplify right side
    5,107.52x = 27,167,820.41
  5. Step 5: Solve for x
    x = 27,167,820.41/5,107.52
  6. Step 6: Final answer
    x = 5,319.18

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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.