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Finding the Fourth Proportional to 4,357.29, 6,535.77 and 1,237.28

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Solution

The fourth proportional to 4,357.29, 6,535.77 and 1,237.28 is: 1,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.29 : 6,535.77 = 1,237.28 : x
  2. Step 2: Convert to fraction form
    4,357.29/6,535.77 = 1,237.28/x
  3. Step 3: Cross multiply
    4,357.29x = 6,535.77 × 1,237.28
  4. Step 4: Simplify right side
    4,357.29x = 8,086,593.85
  5. Step 5: Solve for x
    x = 8,086,593.85/4,357.29
  6. Step 6: Final answer
    x = 1,855.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.