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Finding the Fourth Proportional to 4,092.84, 5,648.54 and 2,324.25

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Solution

The fourth proportional to 4,092.84, 5,648.54 and 2,324.25 is: 3,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.84 : 5,648.54 = 2,324.25 : x
  2. Step 2: Convert to fraction form
    4,092.84/5,648.54 = 2,324.25/x
  3. Step 3: Cross multiply
    4,092.84x = 5,648.54 × 2,324.25
  4. Step 4: Simplify right side
    4,092.84x = 13,128,607.47
  5. Step 5: Solve for x
    x = 13,128,607.47/4,092.84
  6. Step 6: Final answer
    x = 3,207.70

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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.