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Finding the Fourth Proportional to 3,647.72, 5,032.08 and 2,388.26

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Solution

The fourth proportional to 3,647.72, 5,032.08 and 2,388.26 is: 3,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.72 : 5,032.08 = 2,388.26 : x
  2. Step 2: Convert to fraction form
    3,647.72/5,032.08 = 2,388.26/x
  3. Step 3: Cross multiply
    3,647.72x = 5,032.08 × 2,388.26
  4. Step 4: Simplify right side
    3,647.72x = 12,017,915.38
  5. Step 5: Solve for x
    x = 12,017,915.38/3,647.72
  6. Step 6: Final answer
    x = 3,294.64

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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.