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Finding the Fourth Proportional to 3,472.64, 5,209.46 and 1,007.47

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Solution

The fourth proportional to 3,472.64, 5,209.46 and 1,007.47 is: 1,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.64 : 5,209.46 = 1,007.47 : x
  2. Step 2: Convert to fraction form
    3,472.64/5,209.46 = 1,007.47/x
  3. Step 3: Cross multiply
    3,472.64x = 5,209.46 × 1,007.47
  4. Step 4: Simplify right side
    3,472.64x = 5,248,343.58
  5. Step 5: Solve for x
    x = 5,248,343.58/3,472.64
  6. Step 6: Final answer
    x = 1,511.34

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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.