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Finding the Fourth Proportional to 5,378.40, 7,422.16 and 3,020.53

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Solution

The fourth proportional to 5,378.40, 7,422.16 and 3,020.53 is: 4,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.40 : 7,422.16 = 3,020.53 : x
  2. Step 2: Convert to fraction form
    5,378.40/7,422.16 = 3,020.53/x
  3. Step 3: Cross multiply
    5,378.40x = 7,422.16 × 3,020.53
  4. Step 4: Simplify right side
    5,378.40x = 22,418,856.94
  5. Step 5: Solve for x
    x = 22,418,856.94/5,378.40
  6. Step 6: Final answer
    x = 4,168.31

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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.