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Finding the Fourth Proportional to 3,730.59, 5,147.42 and 2,158.38

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Solution

The fourth proportional to 3,730.59, 5,147.42 and 2,158.38 is: 2,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.59 : 5,147.42 = 2,158.38 : x
  2. Step 2: Convert to fraction form
    3,730.59/5,147.42 = 2,158.38/x
  3. Step 3: Cross multiply
    3,730.59x = 5,147.42 × 2,158.38
  4. Step 4: Simplify right side
    3,730.59x = 11,110,077.59
  5. Step 5: Solve for x
    x = 11,110,077.59/3,730.59
  6. Step 6: Final answer
    x = 2,978.10

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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.