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Finding the Fourth Proportional to 4,971.57, 6,857.31 and 3,479.85

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Solution

The fourth proportional to 4,971.57, 6,857.31 and 3,479.85 is: 4,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.57 : 6,857.31 = 3,479.85 : x
  2. Step 2: Convert to fraction form
    4,971.57/6,857.31 = 3,479.85/x
  3. Step 3: Cross multiply
    4,971.57x = 6,857.31 × 3,479.85
  4. Step 4: Simplify right side
    4,971.57x = 23,862,410.20
  5. Step 5: Solve for x
    x = 23,862,410.20/4,971.57
  6. Step 6: Final answer
    x = 4,799.77

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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.