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Finding the Fourth Proportional to 5,847.38, 8,071.30 and 4,654.55

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Solution

The fourth proportional to 5,847.38, 8,071.30 and 4,654.55 is: 6,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.38 : 8,071.30 = 4,654.55 : x
  2. Step 2: Convert to fraction form
    5,847.38/8,071.30 = 4,654.55/x
  3. Step 3: Cross multiply
    5,847.38x = 8,071.30 × 4,654.55
  4. Step 4: Simplify right side
    5,847.38x = 37,568,269.42
  5. Step 5: Solve for x
    x = 37,568,269.42/5,847.38
  6. Step 6: Final answer
    x = 6,424.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.