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Finding the Fourth Proportional to 5,647.41, 7,793.47 and 3,129.55

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Solution

The fourth proportional to 5,647.41, 7,793.47 and 3,129.55 is: 4,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.41 : 7,793.47 = 3,129.55 : x
  2. Step 2: Convert to fraction form
    5,647.41/7,793.47 = 3,129.55/x
  3. Step 3: Cross multiply
    5,647.41x = 7,793.47 × 3,129.55
  4. Step 4: Simplify right side
    5,647.41x = 24,390,047.27
  5. Step 5: Solve for x
    x = 24,390,047.27/5,647.41
  6. Step 6: Final answer
    x = 4,318.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.