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Finding the Fourth Proportional to 5,118.70, 7,675.78 and 2,347.10

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Solution

The fourth proportional to 5,118.70, 7,675.78 and 2,347.10 is: 3,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.70 : 7,675.78 = 2,347.10 : x
  2. Step 2: Convert to fraction form
    5,118.70/7,675.78 = 2,347.10/x
  3. Step 3: Cross multiply
    5,118.70x = 7,675.78 × 2,347.10
  4. Step 4: Simplify right side
    5,118.70x = 18,015,823.24
  5. Step 5: Solve for x
    x = 18,015,823.24/5,118.70
  6. Step 6: Final answer
    x = 3,519.61

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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.