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Finding the Fourth Proportional to 5,146.30, 7,102.02 and 2,908.23

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Solution

The fourth proportional to 5,146.30, 7,102.02 and 2,908.23 is: 4,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.30 : 7,102.02 = 2,908.23 : x
  2. Step 2: Convert to fraction form
    5,146.30/7,102.02 = 2,908.23/x
  3. Step 3: Cross multiply
    5,146.30x = 7,102.02 × 2,908.23
  4. Step 4: Simplify right side
    5,146.30x = 20,654,307.62
  5. Step 5: Solve for x
    x = 20,654,307.62/5,146.30
  6. Step 6: Final answer
    x = 4,013.43

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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.