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Finding the Fourth Proportional to 6,749.71, 10,115.60 and 3,586.49

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Solution

The fourth proportional to 6,749.71, 10,115.60 and 3,586.49 is: 5,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.71 : 10,115.60 = 3,586.49 : x
  2. Step 2: Convert to fraction form
    6,749.71/10,115.60 = 3,586.49/x
  3. Step 3: Cross multiply
    6,749.71x = 10,115.60 × 3,586.49
  4. Step 4: Simplify right side
    6,749.71x = 36,279,544.74
  5. Step 5: Solve for x
    x = 36,279,544.74/6,749.71
  6. Step 6: Final answer
    x = 5,374.98

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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.