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Finding the Fourth Proportional to 5,076.64, 7,614.42 and 1,613.62

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Solution

The fourth proportional to 5,076.64, 7,614.42 and 1,613.62 is: 2,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.64 : 7,614.42 = 1,613.62 : x
  2. Step 2: Convert to fraction form
    5,076.64/7,614.42 = 1,613.62/x
  3. Step 3: Cross multiply
    5,076.64x = 7,614.42 × 1,613.62
  4. Step 4: Simplify right side
    5,076.64x = 12,286,780.40
  5. Step 5: Solve for x
    x = 12,286,780.40/5,076.64
  6. Step 6: Final answer
    x = 2,420.26

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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.