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Finding the Fourth Proportional to 3,471.51, 5,207.12 and 1,006.28

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Solution

The fourth proportional to 3,471.51, 5,207.12 and 1,006.28 is: 1,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.51 : 5,207.12 = 1,006.28 : x
  2. Step 2: Convert to fraction form
    3,471.51/5,207.12 = 1,006.28/x
  3. Step 3: Cross multiply
    3,471.51x = 5,207.12 × 1,006.28
  4. Step 4: Simplify right side
    3,471.51x = 5,239,820.71
  5. Step 5: Solve for x
    x = 5,239,820.71/3,471.51
  6. Step 6: Final answer
    x = 1,509.38

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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.