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Finding the Fourth Proportional to 3,319.56, 4,585.65 and 3,144.60

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Solution

The fourth proportional to 3,319.56, 4,585.65 and 3,144.60 is: 4,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.56 : 4,585.65 = 3,144.60 : x
  2. Step 2: Convert to fraction form
    3,319.56/4,585.65 = 3,144.60/x
  3. Step 3: Cross multiply
    3,319.56x = 4,585.65 × 3,144.60
  4. Step 4: Simplify right side
    3,319.56x = 14,420,034.99
  5. Step 5: Solve for x
    x = 14,420,034.99/3,319.56
  6. Step 6: Final answer
    x = 4,343.96

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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.