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Finding the Fourth Proportional to 3,505.64, 5,262.14 and 1,559.20

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Solution

The fourth proportional to 3,505.64, 5,262.14 and 1,559.20 is: 2,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.64 : 5,262.14 = 1,559.20 : x
  2. Step 2: Convert to fraction form
    3,505.64/5,262.14 = 1,559.20/x
  3. Step 3: Cross multiply
    3,505.64x = 5,262.14 × 1,559.20
  4. Step 4: Simplify right side
    3,505.64x = 8,204,728.69
  5. Step 5: Solve for x
    x = 8,204,728.69/3,505.64
  6. Step 6: Final answer
    x = 2,340.44

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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.