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Finding the Fourth Proportional to 5,105.77, 7,045.79 and 2,867.74

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Solution

The fourth proportional to 5,105.77, 7,045.79 and 2,867.74 is: 3,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.77 : 7,045.79 = 2,867.74 : x
  2. Step 2: Convert to fraction form
    5,105.77/7,045.79 = 2,867.74/x
  3. Step 3: Cross multiply
    5,105.77x = 7,045.79 × 2,867.74
  4. Step 4: Simplify right side
    5,105.77x = 20,205,461.86
  5. Step 5: Solve for x
    x = 20,205,461.86/5,105.77
  6. Step 6: Final answer
    x = 3,957.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.