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Finding the Fourth Proportional to 5,118.80, 7,056 and 4,282.28

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Solution

The fourth proportional to 5,118.80, 7,056 and 4,282.28 is: 5,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.80 : 7,056 = 4,282.28 : x
  2. Step 2: Convert to fraction form
    5,118.80/7,056 = 4,282.28/x
  3. Step 3: Cross multiply
    5,118.80x = 7,056 × 4,282.28
  4. Step 4: Simplify right side
    5,118.80x = 30,215,767.68
  5. Step 5: Solve for x
    x = 30,215,767.68/5,118.80
  6. Step 6: Final answer
    x = 5,902.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.