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Finding the Fourth Proportional to 5,325.14, 7,987.63 and 1,862.42

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Solution

The fourth proportional to 5,325.14, 7,987.63 and 1,862.42 is: 2,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.14 : 7,987.63 = 1,862.42 : x
  2. Step 2: Convert to fraction form
    5,325.14/7,987.63 = 1,862.42/x
  3. Step 3: Cross multiply
    5,325.14x = 7,987.63 × 1,862.42
  4. Step 4: Simplify right side
    5,325.14x = 14,876,321.86
  5. Step 5: Solve for x
    x = 14,876,321.86/5,325.14
  6. Step 6: Final answer
    x = 2,793.60

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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.