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Finding the Fourth Proportional to 4,891.50, 7,337.52 and 1,429.02

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Solution

The fourth proportional to 4,891.50, 7,337.52 and 1,429.02 is: 2,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.50 : 7,337.52 = 1,429.02 : x
  2. Step 2: Convert to fraction form
    4,891.50/7,337.52 = 1,429.02/x
  3. Step 3: Cross multiply
    4,891.50x = 7,337.52 × 1,429.02
  4. Step 4: Simplify right side
    4,891.50x = 10,485,462.83
  5. Step 5: Solve for x
    x = 10,485,462.83/4,891.50
  6. Step 6: Final answer
    x = 2,143.61

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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.