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Finding the Fourth Proportional to 4,238.50, 6,357.68 and 1,032.80

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Solution

The fourth proportional to 4,238.50, 6,357.68 and 1,032.80 is: 1,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.50 : 6,357.68 = 1,032.80 : x
  2. Step 2: Convert to fraction form
    4,238.50/6,357.68 = 1,032.80/x
  3. Step 3: Cross multiply
    4,238.50x = 6,357.68 × 1,032.80
  4. Step 4: Simplify right side
    4,238.50x = 6,566,198.59
  5. Step 5: Solve for x
    x = 6,566,198.59/4,238.50
  6. Step 6: Final answer
    x = 1,549.18

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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.