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Finding the Fourth Proportional to 3,854.65, 5,785.25 and 1,516.29

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Solution

The fourth proportional to 3,854.65, 5,785.25 and 1,516.29 is: 2,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.65 : 5,785.25 = 1,516.29 : x
  2. Step 2: Convert to fraction form
    3,854.65/5,785.25 = 1,516.29/x
  3. Step 3: Cross multiply
    3,854.65x = 5,785.25 × 1,516.29
  4. Step 4: Simplify right side
    3,854.65x = 8,772,120.51
  5. Step 5: Solve for x
    x = 8,772,120.51/3,854.65
  6. Step 6: Final answer
    x = 2,275.72

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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.