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Finding the Fourth Proportional to 5,002.92, 7,504.58 and 1,882.60

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Solution

The fourth proportional to 5,002.92, 7,504.58 and 1,882.60 is: 2,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.92 : 7,504.58 = 1,882.60 : x
  2. Step 2: Convert to fraction form
    5,002.92/7,504.58 = 1,882.60/x
  3. Step 3: Cross multiply
    5,002.92x = 7,504.58 × 1,882.60
  4. Step 4: Simplify right side
    5,002.92x = 14,128,122.31
  5. Step 5: Solve for x
    x = 14,128,122.31/5,002.92
  6. Step 6: Final answer
    x = 2,823.98

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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.