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Finding the Fourth Proportional to 5,118.80, 7,678.20 and 5,086.40

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Solution

The fourth proportional to 5,118.80, 7,678.20 and 5,086.40 is: 7,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.80 : 7,678.20 = 5,086.40 : x
  2. Step 2: Convert to fraction form
    5,118.80/7,678.20 = 5,086.40/x
  3. Step 3: Cross multiply
    5,118.80x = 7,678.20 × 5,086.40
  4. Step 4: Simplify right side
    5,118.80x = 39,054,396.48
  5. Step 5: Solve for x
    x = 39,054,396.48/5,118.80
  6. Step 6: Final answer
    x = 7,629.60

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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.