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Finding the Fourth Proportional to 5,008.64, 7,514.56 and 2,411.84

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Solution

The fourth proportional to 5,008.64, 7,514.56 and 2,411.84 is: 3,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,008.64 : 7,514.56 = 2,411.84 : x
  2. Step 2: Convert to fraction form
    5,008.64/7,514.56 = 2,411.84/x
  3. Step 3: Cross multiply
    5,008.64x = 7,514.56 × 2,411.84
  4. Step 4: Simplify right side
    5,008.64x = 18,123,916.39
  5. Step 5: Solve for x
    x = 18,123,916.39/5,008.64
  6. Step 6: Final answer
    x = 3,618.53

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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.