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Finding the Fourth Proportional to 3,547.88, 5,321.92 and 950.82

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Solution

The fourth proportional to 3,547.88, 5,321.92 and 950.82 is: 1,426.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.88 : 5,321.92 = 950.82 : x
  2. Step 2: Convert to fraction form
    3,547.88/5,321.92 = 950.82/x
  3. Step 3: Cross multiply
    3,547.88x = 5,321.92 × 950.82
  4. Step 4: Simplify right side
    3,547.88x = 5,060,187.97
  5. Step 5: Solve for x
    x = 5,060,187.97/3,547.88
  6. Step 6: Final answer
    x = 1,426.26

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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.