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Finding the Fourth Proportional to 3,932.58, 5,898.22 and 1,466.74

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Solution

The fourth proportional to 3,932.58, 5,898.22 and 1,466.74 is: 2,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.58 : 5,898.22 = 1,466.74 : x
  2. Step 2: Convert to fraction form
    3,932.58/5,898.22 = 1,466.74/x
  3. Step 3: Cross multiply
    3,932.58x = 5,898.22 × 1,466.74
  4. Step 4: Simplify right side
    3,932.58x = 8,651,158.91
  5. Step 5: Solve for x
    x = 8,651,158.91/3,932.58
  6. Step 6: Final answer
    x = 2,199.87

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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.