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Finding the Fourth Proportional to 3,752.72, 5,175.30 and 3,454.63

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Solution

The fourth proportional to 3,752.72, 5,175.30 and 3,454.63 is: 4,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.72 : 5,175.30 = 3,454.63 : x
  2. Step 2: Convert to fraction form
    3,752.72/5,175.30 = 3,454.63/x
  3. Step 3: Cross multiply
    3,752.72x = 5,175.30 × 3,454.63
  4. Step 4: Simplify right side
    3,752.72x = 17,878,703.49
  5. Step 5: Solve for x
    x = 17,878,703.49/3,752.72
  6. Step 6: Final answer
    x = 4,764.20

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1.5x scale

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.