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Finding the Fourth Proportional to 5,778.30, 7,947.60 and 4,762.86

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Solution

The fourth proportional to 5,778.30, 7,947.60 and 4,762.86 is: 6,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.30 : 7,947.60 = 4,762.86 : x
  2. Step 2: Convert to fraction form
    5,778.30/7,947.60 = 4,762.86/x
  3. Step 3: Cross multiply
    5,778.30x = 7,947.60 × 4,762.86
  4. Step 4: Simplify right side
    5,778.30x = 37,853,306.14
  5. Step 5: Solve for x
    x = 37,853,306.14/5,778.30
  6. Step 6: Final answer
    x = 6,550.94

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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.