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Finding the Fourth Proportional to 5,102.94, 7,042.10 and 2,864.87

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Solution

The fourth proportional to 5,102.94, 7,042.10 and 2,864.87 is: 3,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.94 : 7,042.10 = 2,864.87 : x
  2. Step 2: Convert to fraction form
    5,102.94/7,042.10 = 2,864.87/x
  3. Step 3: Cross multiply
    5,102.94x = 7,042.10 × 2,864.87
  4. Step 4: Simplify right side
    5,102.94x = 20,174,651.49
  5. Step 5: Solve for x
    x = 20,174,651.49/5,102.94
  6. Step 6: Final answer
    x = 3,953.53

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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.