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Finding the Fourth Proportional to 5,146.48, 7,102.02 and 2,908

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Solution

The fourth proportional to 5,146.48, 7,102.02 and 2,908 is: 4,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.48 : 7,102.02 = 2,908 : x
  2. Step 2: Convert to fraction form
    5,146.48/7,102.02 = 2,908/x
  3. Step 3: Cross multiply
    5,146.48x = 7,102.02 × 2,908
  4. Step 4: Simplify right side
    5,146.48x = 20,652,674.16
  5. Step 5: Solve for x
    x = 20,652,674.16/5,146.48
  6. Step 6: Final answer
    x = 4,012.97

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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.