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Finding the Fourth Proportional to 5,245.53, 7,864.44 and 2,470.64

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Solution

The fourth proportional to 5,245.53, 7,864.44 and 2,470.64 is: 3,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.53 : 7,864.44 = 2,470.64 : x
  2. Step 2: Convert to fraction form
    5,245.53/7,864.44 = 2,470.64/x
  3. Step 3: Cross multiply
    5,245.53x = 7,864.44 × 2,470.64
  4. Step 4: Simplify right side
    5,245.53x = 19,430,151.45
  5. Step 5: Solve for x
    x = 19,430,151.45/5,245.53
  6. Step 6: Final answer
    x = 3,704.14

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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.