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Finding the Fourth Proportional to 5,122.59, 7,683.48 and 2,002.01

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Solution

The fourth proportional to 5,122.59, 7,683.48 and 2,002.01 is: 3,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.59 : 7,683.48 = 2,002.01 : x
  2. Step 2: Convert to fraction form
    5,122.59/7,683.48 = 2,002.01/x
  3. Step 3: Cross multiply
    5,122.59x = 7,683.48 × 2,002.01
  4. Step 4: Simplify right side
    5,122.59x = 15,382,365.38
  5. Step 5: Solve for x
    x = 15,382,365.38/5,122.59
  6. Step 6: Final answer
    x = 3,002.85

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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.