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Finding the Fourth Proportional to 5,107.80, 7,048.50 and 2,869.77

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Solution

The fourth proportional to 5,107.80, 7,048.50 and 2,869.77 is: 3,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.80 : 7,048.50 = 2,869.77 : x
  2. Step 2: Convert to fraction form
    5,107.80/7,048.50 = 2,869.77/x
  3. Step 3: Cross multiply
    5,107.80x = 7,048.50 × 2,869.77
  4. Step 4: Simplify right side
    5,107.80x = 20,227,573.85
  5. Step 5: Solve for x
    x = 20,227,573.85/5,107.80
  6. Step 6: Final answer
    x = 3,960.13

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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.