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Finding the Fourth Proportional to 3,657.55, 5,486.31 and 1,464.71

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Solution

The fourth proportional to 3,657.55, 5,486.31 and 1,464.71 is: 2,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.55 : 5,486.31 = 1,464.71 : x
  2. Step 2: Convert to fraction form
    3,657.55/5,486.31 = 1,464.71/x
  3. Step 3: Cross multiply
    3,657.55x = 5,486.31 × 1,464.71
  4. Step 4: Simplify right side
    3,657.55x = 8,035,845.80
  5. Step 5: Solve for x
    x = 8,035,845.80/3,657.55
  6. Step 6: Final answer
    x = 2,197.06

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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.