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Finding the Fourth Proportional to 3,856.75, 5,785.43 and 1,516.59

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Solution

The fourth proportional to 3,856.75, 5,785.43 and 1,516.59 is: 2,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.75 : 5,785.43 = 1,516.59 : x
  2. Step 2: Convert to fraction form
    3,856.75/5,785.43 = 1,516.59/x
  3. Step 3: Cross multiply
    3,856.75x = 5,785.43 × 1,516.59
  4. Step 4: Simplify right side
    3,856.75x = 8,774,117.70
  5. Step 5: Solve for x
    x = 8,774,117.70/3,856.75
  6. Step 6: Final answer
    x = 2,275.00

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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.