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Finding the Fourth Proportional to 5,422.70, 7,482.87 and 3,123.18

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Solution

The fourth proportional to 5,422.70, 7,482.87 and 3,123.18 is: 4,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.70 : 7,482.87 = 3,123.18 : x
  2. Step 2: Convert to fraction form
    5,422.70/7,482.87 = 3,123.18/x
  3. Step 3: Cross multiply
    5,422.70x = 7,482.87 × 3,123.18
  4. Step 4: Simplify right side
    5,422.70x = 23,370,349.93
  5. Step 5: Solve for x
    x = 23,370,349.93/5,422.70
  6. Step 6: Final answer
    x = 4,309.72

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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.