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Finding the Fourth Proportional to 3,520.64, 5,281.02 and 1,330.40

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Solution

The fourth proportional to 3,520.64, 5,281.02 and 1,330.40 is: 1,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.64 : 5,281.02 = 1,330.40 : x
  2. Step 2: Convert to fraction form
    3,520.64/5,281.02 = 1,330.40/x
  3. Step 3: Cross multiply
    3,520.64x = 5,281.02 × 1,330.40
  4. Step 4: Simplify right side
    3,520.64x = 7,025,869.01
  5. Step 5: Solve for x
    x = 7,025,869.01/3,520.64
  6. Step 6: Final answer
    x = 1,995.62

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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.