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Finding the Fourth Proportional to 3,532.80, 5,298.84 and 935.76

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Solution

The fourth proportional to 3,532.80, 5,298.84 and 935.76 is: 1,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.80 : 5,298.84 = 935.76 : x
  2. Step 2: Convert to fraction form
    3,532.80/5,298.84 = 935.76/x
  3. Step 3: Cross multiply
    3,532.80x = 5,298.84 × 935.76
  4. Step 4: Simplify right side
    3,532.80x = 4,958,442.52
  5. Step 5: Solve for x
    x = 4,958,442.52/3,532.80
  6. Step 6: Final answer
    x = 1,403.54

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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.