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Finding the Fourth Proportional to 3,642.60, 5,463.90 and 2,264.70

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Solution

The fourth proportional to 3,642.60, 5,463.90 and 2,264.70 is: 3,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.60 : 5,463.90 = 2,264.70 : x
  2. Step 2: Convert to fraction form
    3,642.60/5,463.90 = 2,264.70/x
  3. Step 3: Cross multiply
    3,642.60x = 5,463.90 × 2,264.70
  4. Step 4: Simplify right side
    3,642.60x = 12,374,094.33
  5. Step 5: Solve for x
    x = 12,374,094.33/3,642.60
  6. Step 6: Final answer
    x = 3,397.05

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1.5x scale

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.