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Finding the Fourth Proportional to 3,447.64, 5,172.27 and 1,500.40

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Solution

The fourth proportional to 3,447.64, 5,172.27 and 1,500.40 is: 2,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.64 : 5,172.27 = 1,500.40 : x
  2. Step 2: Convert to fraction form
    3,447.64/5,172.27 = 1,500.40/x
  3. Step 3: Cross multiply
    3,447.64x = 5,172.27 × 1,500.40
  4. Step 4: Simplify right side
    3,447.64x = 7,760,445.65
  5. Step 5: Solve for x
    x = 7,760,445.65/3,447.64
  6. Step 6: Final answer
    x = 2,250.95

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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.