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Finding the Fourth Proportional to 5,830.46, 8,046.02 and 3,177.87

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Solution

The fourth proportional to 5,830.46, 8,046.02 and 3,177.87 is: 4,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.46 : 8,046.02 = 3,177.87 : x
  2. Step 2: Convert to fraction form
    5,830.46/8,046.02 = 3,177.87/x
  3. Step 3: Cross multiply
    5,830.46x = 8,046.02 × 3,177.87
  4. Step 4: Simplify right side
    5,830.46x = 25,569,183.35
  5. Step 5: Solve for x
    x = 25,569,183.35/5,830.46
  6. Step 6: Final answer
    x = 4,385.45

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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.