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Finding the Fourth Proportional to 5,146.17, 7,102 and 2,908.14

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Solution

The fourth proportional to 5,146.17, 7,102 and 2,908.14 is: 4,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.17 : 7,102 = 2,908.14 : x
  2. Step 2: Convert to fraction form
    5,146.17/7,102 = 2,908.14/x
  3. Step 3: Cross multiply
    5,146.17x = 7,102 × 2,908.14
  4. Step 4: Simplify right side
    5,146.17x = 20,653,610.28
  5. Step 5: Solve for x
    x = 20,653,610.28/5,146.17
  6. Step 6: Final answer
    x = 4,013.39

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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.