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Finding the Fourth Proportional to 5,164.53, 7,740.45 and 2,387.45

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Solution

The fourth proportional to 5,164.53, 7,740.45 and 2,387.45 is: 3,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.53 : 7,740.45 = 2,387.45 : x
  2. Step 2: Convert to fraction form
    5,164.53/7,740.45 = 2,387.45/x
  3. Step 3: Cross multiply
    5,164.53x = 7,740.45 × 2,387.45
  4. Step 4: Simplify right side
    5,164.53x = 18,479,937.35
  5. Step 5: Solve for x
    x = 18,479,937.35/5,164.53
  6. Step 6: Final answer
    x = 3,578.24

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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.