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Finding the Fourth Proportional to 3,532.36, 5,298.90 and 935.30

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Solution

The fourth proportional to 3,532.36, 5,298.90 and 935.30 is: 1,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.36 : 5,298.90 = 935.30 : x
  2. Step 2: Convert to fraction form
    3,532.36/5,298.90 = 935.30/x
  3. Step 3: Cross multiply
    3,532.36x = 5,298.90 × 935.30
  4. Step 4: Simplify right side
    3,532.36x = 4,956,046.36
  5. Step 5: Solve for x
    x = 4,956,046.36/3,532.36
  6. Step 6: Final answer
    x = 1,403.04

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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.