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Finding the Fourth Proportional to 3,352.74, 5,029.15 and 1,597.91

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Solution

The fourth proportional to 3,352.74, 5,029.15 and 1,597.91 is: 2,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.74 : 5,029.15 = 1,597.91 : x
  2. Step 2: Convert to fraction form
    3,352.74/5,029.15 = 1,597.91/x
  3. Step 3: Cross multiply
    3,352.74x = 5,029.15 × 1,597.91
  4. Step 4: Simplify right side
    3,352.74x = 8,036,129.08
  5. Step 5: Solve for x
    x = 8,036,129.08/3,352.74
  6. Step 6: Final answer
    x = 2,396.88

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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.