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Finding the Fourth Proportional to 4,101.64, 6,147.10 and 1,502.12

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Solution

The fourth proportional to 4,101.64, 6,147.10 and 1,502.12 is: 2,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.64 : 6,147.10 = 1,502.12 : x
  2. Step 2: Convert to fraction form
    4,101.64/6,147.10 = 1,502.12/x
  3. Step 3: Cross multiply
    4,101.64x = 6,147.10 × 1,502.12
  4. Step 4: Simplify right side
    4,101.64x = 9,233,681.85
  5. Step 5: Solve for x
    x = 9,233,681.85/4,101.64
  6. Step 6: Final answer
    x = 2,251.22

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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.