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Finding the Fourth Proportional to 3,546.72, 5,284.44 and 3,348

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Solution

The fourth proportional to 3,546.72, 5,284.44 and 3,348 is: 4,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.72 : 5,284.44 = 3,348 : x
  2. Step 2: Convert to fraction form
    3,546.72/5,284.44 = 3,348/x
  3. Step 3: Cross multiply
    3,546.72x = 5,284.44 × 3,348
  4. Step 4: Simplify right side
    3,546.72x = 17,692,305.12
  5. Step 5: Solve for x
    x = 17,692,305.12/3,546.72
  6. Step 6: Final answer
    x = 4,988.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.