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Finding the Fourth Proportional to 5,251.76, 7,875.96 and 2,476.76

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Solution

The fourth proportional to 5,251.76, 7,875.96 and 2,476.76 is: 3,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.76 : 7,875.96 = 2,476.76 : x
  2. Step 2: Convert to fraction form
    5,251.76/7,875.96 = 2,476.76/x
  3. Step 3: Cross multiply
    5,251.76x = 7,875.96 × 2,476.76
  4. Step 4: Simplify right side
    5,251.76x = 19,506,862.69
  5. Step 5: Solve for x
    x = 19,506,862.69/5,251.76
  6. Step 6: Final answer
    x = 3,714.35

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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.