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Finding the Fourth Proportional to 4,348.80, 6,523.20 and 4,262.40

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Solution

The fourth proportional to 4,348.80, 6,523.20 and 4,262.40 is: 6,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.80 : 6,523.20 = 4,262.40 : x
  2. Step 2: Convert to fraction form
    4,348.80/6,523.20 = 4,262.40/x
  3. Step 3: Cross multiply
    4,348.80x = 6,523.20 × 4,262.40
  4. Step 4: Simplify right side
    4,348.80x = 27,804,487.68
  5. Step 5: Solve for x
    x = 27,804,487.68/4,348.80
  6. Step 6: Final answer
    x = 6,393.60

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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.