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Finding the Fourth Proportional to 5,778.86, 7,974.89 and 3,126.32

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Solution

The fourth proportional to 5,778.86, 7,974.89 and 3,126.32 is: 4,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.86 : 7,974.89 = 3,126.32 : x
  2. Step 2: Convert to fraction form
    5,778.86/7,974.89 = 3,126.32/x
  3. Step 3: Cross multiply
    5,778.86x = 7,974.89 × 3,126.32
  4. Step 4: Simplify right side
    5,778.86x = 24,932,002.60
  5. Step 5: Solve for x
    x = 24,932,002.60/5,778.86
  6. Step 6: Final answer
    x = 4,314.35

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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.