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Finding the Fourth Proportional to 6,043.36, 9,049.48 and 3,580

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Solution

The fourth proportional to 6,043.36, 9,049.48 and 3,580 is: 5,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.36 : 9,049.48 = 3,580 : x
  2. Step 2: Convert to fraction form
    6,043.36/9,049.48 = 3,580/x
  3. Step 3: Cross multiply
    6,043.36x = 9,049.48 × 3,580
  4. Step 4: Simplify right side
    6,043.36x = 32,397,138.40
  5. Step 5: Solve for x
    x = 32,397,138.40/6,043.36
  6. Step 6: Final answer
    x = 5,360.78

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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.