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Finding the Fourth Proportional to 5,732, 7,910.28 and 3,248

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Solution

The fourth proportional to 5,732, 7,910.28 and 3,248 is: 4,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732 : 7,910.28 = 3,248 : x
  2. Step 2: Convert to fraction form
    5,732/7,910.28 = 3,248/x
  3. Step 3: Cross multiply
    5,732x = 7,910.28 × 3,248
  4. Step 4: Simplify right side
    5,732x = 25,692,589.44
  5. Step 5: Solve for x
    x = 25,692,589.44/5,732
  6. Step 6: Final answer
    x = 4,482.31

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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.