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Finding the Fourth Proportional to 6,952.24, 10,422.42 and 3,053.62

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Solution

The fourth proportional to 6,952.24, 10,422.42 and 3,053.62 is: 4,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.24 : 10,422.42 = 3,053.62 : x
  2. Step 2: Convert to fraction form
    6,952.24/10,422.42 = 3,053.62/x
  3. Step 3: Cross multiply
    6,952.24x = 10,422.42 × 3,053.62
  4. Step 4: Simplify right side
    6,952.24x = 31,826,110.16
  5. Step 5: Solve for x
    x = 31,826,110.16/6,952.24
  6. Step 6: Final answer
    x = 4,577.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.