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Finding the Fourth Proportional to 5,830.96, 8,046.06 and 3,472.65

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Solution

The fourth proportional to 5,830.96, 8,046.06 and 3,472.65 is: 4,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.96 : 8,046.06 = 3,472.65 : x
  2. Step 2: Convert to fraction form
    5,830.96/8,046.06 = 3,472.65/x
  3. Step 3: Cross multiply
    5,830.96x = 8,046.06 × 3,472.65
  4. Step 4: Simplify right side
    5,830.96x = 27,941,150.26
  5. Step 5: Solve for x
    x = 27,941,150.26/5,830.96
  6. Step 6: Final answer
    x = 4,791.86

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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.