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Finding the Fourth Proportional to 5,830.71, 8,046.34 and 3,178.14

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Solution

The fourth proportional to 5,830.71, 8,046.34 and 3,178.14 is: 4,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.71 : 8,046.34 = 3,178.14 : x
  2. Step 2: Convert to fraction form
    5,830.71/8,046.34 = 3,178.14/x
  3. Step 3: Cross multiply
    5,830.71x = 8,046.34 × 3,178.14
  4. Step 4: Simplify right side
    5,830.71x = 25,572,356.89
  5. Step 5: Solve for x
    x = 25,572,356.89/5,830.71
  6. Step 6: Final answer
    x = 4,385.81

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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.