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Finding the Fourth Proportional to 4,092.84, 5,648.40 and 2,324.64

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Solution

The fourth proportional to 4,092.84, 5,648.40 and 2,324.64 is: 3,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.84 : 5,648.40 = 2,324.64 : x
  2. Step 2: Convert to fraction form
    4,092.84/5,648.40 = 2,324.64/x
  3. Step 3: Cross multiply
    4,092.84x = 5,648.40 × 2,324.64
  4. Step 4: Simplify right side
    4,092.84x = 13,130,496.58
  5. Step 5: Solve for x
    x = 13,130,496.58/4,092.84
  6. Step 6: Final answer
    x = 3,208.16

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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.