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Finding the Fourth Proportional to 4,129.46, 5,695.47 and 2,870.49

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Solution

The fourth proportional to 4,129.46, 5,695.47 and 2,870.49 is: 3,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.46 : 5,695.47 = 2,870.49 : x
  2. Step 2: Convert to fraction form
    4,129.46/5,695.47 = 2,870.49/x
  3. Step 3: Cross multiply
    4,129.46x = 5,695.47 × 2,870.49
  4. Step 4: Simplify right side
    4,129.46x = 16,348,789.68
  5. Step 5: Solve for x
    x = 16,348,789.68/4,129.46
  6. Step 6: Final answer
    x = 3,959.06

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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.