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Finding the Fourth Proportional to 3,642.18, 5,458.59 and 3,171.72

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Solution

The fourth proportional to 3,642.18, 5,458.59 and 3,171.72 is: 4,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.18 : 5,458.59 = 3,171.72 : x
  2. Step 2: Convert to fraction form
    3,642.18/5,458.59 = 3,171.72/x
  3. Step 3: Cross multiply
    3,642.18x = 5,458.59 × 3,171.72
  4. Step 4: Simplify right side
    3,642.18x = 17,313,119.07
  5. Step 5: Solve for x
    x = 17,313,119.07/3,642.18
  6. Step 6: Final answer
    x = 4,753.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.