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Finding the Fourth Proportional to 5,722.84, 7,896.18 and 4,148.20

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Solution

The fourth proportional to 5,722.84, 7,896.18 and 4,148.20 is: 5,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.84 : 7,896.18 = 4,148.20 : x
  2. Step 2: Convert to fraction form
    5,722.84/7,896.18 = 4,148.20/x
  3. Step 3: Cross multiply
    5,722.84x = 7,896.18 × 4,148.20
  4. Step 4: Simplify right side
    5,722.84x = 32,754,933.88
  5. Step 5: Solve for x
    x = 32,754,933.88/5,722.84
  6. Step 6: Final answer
    x = 5,723.55

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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.