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Finding the Fourth Proportional to 3,444.52, 5,167.52 and 1,135.84

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Solution

The fourth proportional to 3,444.52, 5,167.52 and 1,135.84 is: 1,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.52 : 5,167.52 = 1,135.84 : x
  2. Step 2: Convert to fraction form
    3,444.52/5,167.52 = 1,135.84/x
  3. Step 3: Cross multiply
    3,444.52x = 5,167.52 × 1,135.84
  4. Step 4: Simplify right side
    3,444.52x = 5,869,475.92
  5. Step 5: Solve for x
    x = 5,869,475.92/3,444.52
  6. Step 6: Final answer
    x = 1,704.00

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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.