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Finding the Fourth Proportional to 3,472.32, 5,207.34 and 1,007.22

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Solution

The fourth proportional to 3,472.32, 5,207.34 and 1,007.22 is: 1,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.32 : 5,207.34 = 1,007.22 : x
  2. Step 2: Convert to fraction form
    3,472.32/5,207.34 = 1,007.22/x
  3. Step 3: Cross multiply
    3,472.32x = 5,207.34 × 1,007.22
  4. Step 4: Simplify right side
    3,472.32x = 5,244,936.99
  5. Step 5: Solve for x
    x = 5,244,936.99/3,472.32
  6. Step 6: Final answer
    x = 1,510.50

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1.5x scale

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.