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Finding the Fourth Proportional to 5,146.91, 7,102.98 and 2,908.88

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Solution

The fourth proportional to 5,146.91, 7,102.98 and 2,908.88 is: 4,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.91 : 7,102.98 = 2,908.88 : x
  2. Step 2: Convert to fraction form
    5,146.91/7,102.98 = 2,908.88/x
  3. Step 3: Cross multiply
    5,146.91x = 7,102.98 × 2,908.88
  4. Step 4: Simplify right side
    5,146.91x = 20,661,716.46
  5. Step 5: Solve for x
    x = 20,661,716.46/5,146.91
  6. Step 6: Final answer
    x = 4,014.39

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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.