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Finding the Fourth Proportional to 3,472.51, 5,208.62 and 1,007.28

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Solution

The fourth proportional to 3,472.51, 5,208.62 and 1,007.28 is: 1,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.51 : 5,208.62 = 1,007.28 : x
  2. Step 2: Convert to fraction form
    3,472.51/5,208.62 = 1,007.28/x
  3. Step 3: Cross multiply
    3,472.51x = 5,208.62 × 1,007.28
  4. Step 4: Simplify right side
    3,472.51x = 5,246,538.75
  5. Step 5: Solve for x
    x = 5,246,538.75/3,472.51
  6. Step 6: Final answer
    x = 1,510.88

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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.