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Finding the Fourth Proportional to 5,122.60, 7,680 and 2,350.08

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Solution

The fourth proportional to 5,122.60, 7,680 and 2,350.08 is: 3,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.60 : 7,680 = 2,350.08 : x
  2. Step 2: Convert to fraction form
    5,122.60/7,680 = 2,350.08/x
  3. Step 3: Cross multiply
    5,122.60x = 7,680 × 2,350.08
  4. Step 4: Simplify right side
    5,122.60x = 18,048,614.40
  5. Step 5: Solve for x
    x = 18,048,614.40/5,122.60
  6. Step 6: Final answer
    x = 3,523.33

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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.