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Finding the Fourth Proportional to 3,466.92, 5,199.72 and 934.02

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Solution

The fourth proportional to 3,466.92, 5,199.72 and 934.02 is: 1,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.92 : 5,199.72 = 934.02 : x
  2. Step 2: Convert to fraction form
    3,466.92/5,199.72 = 934.02/x
  3. Step 3: Cross multiply
    3,466.92x = 5,199.72 × 934.02
  4. Step 4: Simplify right side
    3,466.92x = 4,856,642.47
  5. Step 5: Solve for x
    x = 4,856,642.47/3,466.92
  6. Step 6: Final answer
    x = 1,400.85

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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.