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Finding the Fourth Proportional to 6,489.48, 8,954.84 and 3,656.80

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Solution

The fourth proportional to 6,489.48, 8,954.84 and 3,656.80 is: 5,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.48 : 8,954.84 = 3,656.80 : x
  2. Step 2: Convert to fraction form
    6,489.48/8,954.84 = 3,656.80/x
  3. Step 3: Cross multiply
    6,489.48x = 8,954.84 × 3,656.80
  4. Step 4: Simplify right side
    6,489.48x = 32,746,058.91
  5. Step 5: Solve for x
    x = 32,746,058.91/6,489.48
  6. Step 6: Final answer
    x = 5,046.02

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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.