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Finding the Fourth Proportional to 6,408.80, 9,616.80 and 2,710.40

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Solution

The fourth proportional to 6,408.80, 9,616.80 and 2,710.40 is: 4,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.80 : 9,616.80 = 2,710.40 : x
  2. Step 2: Convert to fraction form
    6,408.80/9,616.80 = 2,710.40/x
  3. Step 3: Cross multiply
    6,408.80x = 9,616.80 × 2,710.40
  4. Step 4: Simplify right side
    6,408.80x = 26,065,374.72
  5. Step 5: Solve for x
    x = 26,065,374.72/6,408.80
  6. Step 6: Final answer
    x = 4,067.12

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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.