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Finding the Fourth Proportional to 5,830.62, 8,042.58 and 3,471

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Solution

The fourth proportional to 5,830.62, 8,042.58 and 3,471 is: 4,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.62 : 8,042.58 = 3,471 : x
  2. Step 2: Convert to fraction form
    5,830.62/8,042.58 = 3,471/x
  3. Step 3: Cross multiply
    5,830.62x = 8,042.58 × 3,471
  4. Step 4: Simplify right side
    5,830.62x = 27,915,795.18
  5. Step 5: Solve for x
    x = 27,915,795.18/5,830.62
  6. Step 6: Final answer
    x = 4,787.79

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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.