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Finding the Fourth Proportional to 5,143.57, 7,098.09 and 2,785.66

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Solution

The fourth proportional to 5,143.57, 7,098.09 and 2,785.66 is: 3,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.57 : 7,098.09 = 2,785.66 : x
  2. Step 2: Convert to fraction form
    5,143.57/7,098.09 = 2,785.66/x
  3. Step 3: Cross multiply
    5,143.57x = 7,098.09 × 2,785.66
  4. Step 4: Simplify right side
    5,143.57x = 19,772,865.39
  5. Step 5: Solve for x
    x = 19,772,865.39/5,143.57
  6. Step 6: Final answer
    x = 3,844.19

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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.