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Finding the Fourth Proportional to 3,856.65, 5,785.29 and 1,749.57

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Solution

The fourth proportional to 3,856.65, 5,785.29 and 1,749.57 is: 2,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.65 : 5,785.29 = 1,749.57 : x
  2. Step 2: Convert to fraction form
    3,856.65/5,785.29 = 1,749.57/x
  3. Step 3: Cross multiply
    3,856.65x = 5,785.29 × 1,749.57
  4. Step 4: Simplify right side
    3,856.65x = 10,121,748.13
  5. Step 5: Solve for x
    x = 10,121,748.13/3,856.65
  6. Step 6: Final answer
    x = 2,624.49

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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.