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Finding the Fourth Proportional to 3,656.72, 5,487.36 and 1,348

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Solution

The fourth proportional to 3,656.72, 5,487.36 and 1,348 is: 2,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.72 : 5,487.36 = 1,348 : x
  2. Step 2: Convert to fraction form
    3,656.72/5,487.36 = 1,348/x
  3. Step 3: Cross multiply
    3,656.72x = 5,487.36 × 1,348
  4. Step 4: Simplify right side
    3,656.72x = 7,396,961.28
  5. Step 5: Solve for x
    x = 7,396,961.28/3,656.72
  6. Step 6: Final answer
    x = 2,022.84

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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.