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Finding the Fourth Proportional to 4,248.64, 5,857.68 and 2,674

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Solution

The fourth proportional to 4,248.64, 5,857.68 and 2,674 is: 3,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248.64 : 5,857.68 = 2,674 : x
  2. Step 2: Convert to fraction form
    4,248.64/5,857.68 = 2,674/x
  3. Step 3: Cross multiply
    4,248.64x = 5,857.68 × 2,674
  4. Step 4: Simplify right side
    4,248.64x = 15,663,436.32
  5. Step 5: Solve for x
    x = 15,663,436.32/4,248.64
  6. Step 6: Final answer
    x = 3,686.69

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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.