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Finding the Fourth Proportional to 4,265.76, 5,886.24 and 2,497.44

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Solution

The fourth proportional to 4,265.76, 5,886.24 and 2,497.44 is: 3,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.76 : 5,886.24 = 2,497.44 : x
  2. Step 2: Convert to fraction form
    4,265.76/5,886.24 = 2,497.44/x
  3. Step 3: Cross multiply
    4,265.76x = 5,886.24 × 2,497.44
  4. Step 4: Simplify right side
    4,265.76x = 14,700,531.23
  5. Step 5: Solve for x
    x = 14,700,531.23/4,265.76
  6. Step 6: Final answer
    x = 3,446.17

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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.