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Finding the Fourth Proportional to 5,098, 7,646.28 and 2,324.56

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Solution

The fourth proportional to 5,098, 7,646.28 and 2,324.56 is: 3,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098 : 7,646.28 = 2,324.56 : x
  2. Step 2: Convert to fraction form
    5,098/7,646.28 = 2,324.56/x
  3. Step 3: Cross multiply
    5,098x = 7,646.28 × 2,324.56
  4. Step 4: Simplify right side
    5,098x = 17,774,236.64
  5. Step 5: Solve for x
    x = 17,774,236.64/5,098
  6. Step 6: Final answer
    x = 3,486.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.