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Finding the Fourth Proportional to 5,830.91, 8,046.42 and 3,178.16

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Solution

The fourth proportional to 5,830.91, 8,046.42 and 3,178.16 is: 4,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.91 : 8,046.42 = 3,178.16 : x
  2. Step 2: Convert to fraction form
    5,830.91/8,046.42 = 3,178.16/x
  3. Step 3: Cross multiply
    5,830.91x = 8,046.42 × 3,178.16
  4. Step 4: Simplify right side
    5,830.91x = 25,572,769.96
  5. Step 5: Solve for x
    x = 25,572,769.96/5,830.91
  6. Step 6: Final answer
    x = 4,385.73

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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.