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Finding the Fourth Proportional to 3,248.16, 4,865.34 and 3,134.49

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Solution

The fourth proportional to 3,248.16, 4,865.34 and 3,134.49 is: 4,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.16 : 4,865.34 = 3,134.49 : x
  2. Step 2: Convert to fraction form
    3,248.16/4,865.34 = 3,134.49/x
  3. Step 3: Cross multiply
    3,248.16x = 4,865.34 × 3,134.49
  4. Step 4: Simplify right side
    3,248.16x = 15,250,359.58
  5. Step 5: Solve for x
    x = 15,250,359.58/3,248.16
  6. Step 6: Final answer
    x = 4,695.08

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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.