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Finding the Fourth Proportional to 4,987.20, 6,876 and 3,412.80

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Solution

The fourth proportional to 4,987.20, 6,876 and 3,412.80 is: 4,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.20 : 6,876 = 3,412.80 : x
  2. Step 2: Convert to fraction form
    4,987.20/6,876 = 3,412.80/x
  3. Step 3: Cross multiply
    4,987.20x = 6,876 × 3,412.80
  4. Step 4: Simplify right side
    4,987.20x = 23,466,412.80
  5. Step 5: Solve for x
    x = 23,466,412.80/4,987.20
  6. Step 6: Final answer
    x = 4,705.33

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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.