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Finding the Fourth Proportional to 5,122.89, 7,069.17 and 2,884.32

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Solution

The fourth proportional to 5,122.89, 7,069.17 and 2,884.32 is: 3,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.89 : 7,069.17 = 2,884.32 : x
  2. Step 2: Convert to fraction form
    5,122.89/7,069.17 = 2,884.32/x
  3. Step 3: Cross multiply
    5,122.89x = 7,069.17 × 2,884.32
  4. Step 4: Simplify right side
    5,122.89x = 20,389,748.41
  5. Step 5: Solve for x
    x = 20,389,748.41/5,122.89
  6. Step 6: Final answer
    x = 3,980.13

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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.