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Finding the Fourth Proportional to 5,118.87, 7,678.30 and 1,422.03

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Solution

The fourth proportional to 5,118.87, 7,678.30 and 1,422.03 is: 2,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.87 : 7,678.30 = 1,422.03 : x
  2. Step 2: Convert to fraction form
    5,118.87/7,678.30 = 1,422.03/x
  3. Step 3: Cross multiply
    5,118.87x = 7,678.30 × 1,422.03
  4. Step 4: Simplify right side
    5,118.87x = 10,918,772.95
  5. Step 5: Solve for x
    x = 10,918,772.95/5,118.87
  6. Step 6: Final answer
    x = 2,133.04

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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.