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Finding the Fourth Proportional to 5,102.34, 7,041.21 and 3,112.92

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Solution

The fourth proportional to 5,102.34, 7,041.21 and 3,112.92 is: 4,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.34 : 7,041.21 = 3,112.92 : x
  2. Step 2: Convert to fraction form
    5,102.34/7,041.21 = 3,112.92/x
  3. Step 3: Cross multiply
    5,102.34x = 7,041.21 × 3,112.92
  4. Step 4: Simplify right side
    5,102.34x = 21,918,723.43
  5. Step 5: Solve for x
    x = 21,918,723.43/5,102.34
  6. Step 6: Final answer
    x = 4,295.82

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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.