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Finding the Fourth Proportional to 3,248.64, 4,863.36 and 3,066.24

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Solution

The fourth proportional to 3,248.64, 4,863.36 and 3,066.24 is: 4,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.64 : 4,863.36 = 3,066.24 : x
  2. Step 2: Convert to fraction form
    3,248.64/4,863.36 = 3,066.24/x
  3. Step 3: Cross multiply
    3,248.64x = 4,863.36 × 3,066.24
  4. Step 4: Simplify right side
    3,248.64x = 14,912,228.97
  5. Step 5: Solve for x
    x = 14,912,228.97/3,248.64
  6. Step 6: Final answer
    x = 4,590.30

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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.