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Finding the Fourth Proportional to 5,124.70, 7,071.19 and 2,886.40

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Solution

The fourth proportional to 5,124.70, 7,071.19 and 2,886.40 is: 3,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.70 : 7,071.19 = 2,886.40 : x
  2. Step 2: Convert to fraction form
    5,124.70/7,071.19 = 2,886.40/x
  3. Step 3: Cross multiply
    5,124.70x = 7,071.19 × 2,886.40
  4. Step 4: Simplify right side
    5,124.70x = 20,410,282.82
  5. Step 5: Solve for x
    x = 20,410,282.82/5,124.70
  6. Step 6: Final answer
    x = 3,982.73

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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.