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Finding the Fourth Proportional to 5,158, 7,119.80 and 3,219.24

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Solution

The fourth proportional to 5,158, 7,119.80 and 3,219.24 is: 4,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158 : 7,119.80 = 3,219.24 : x
  2. Step 2: Convert to fraction form
    5,158/7,119.80 = 3,219.24/x
  3. Step 3: Cross multiply
    5,158x = 7,119.80 × 3,219.24
  4. Step 4: Simplify right side
    5,158x = 22,920,344.95
  5. Step 5: Solve for x
    x = 22,920,344.95/5,158
  6. Step 6: Final answer
    x = 4,443.65

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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.