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Finding the Fourth Proportional to 6,742.40, 10,108.80 and 2,580.80

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Solution

The fourth proportional to 6,742.40, 10,108.80 and 2,580.80 is: 3,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.40 : 10,108.80 = 2,580.80 : x
  2. Step 2: Convert to fraction form
    6,742.40/10,108.80 = 2,580.80/x
  3. Step 3: Cross multiply
    6,742.40x = 10,108.80 × 2,580.80
  4. Step 4: Simplify right side
    6,742.40x = 26,088,791.04
  5. Step 5: Solve for x
    x = 26,088,791.04/6,742.40
  6. Step 6: Final answer
    x = 3,869.36

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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.