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Finding the Fourth Proportional to 3,642.22, 5,464.44 and 1,534.94

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Solution

The fourth proportional to 3,642.22, 5,464.44 and 1,534.94 is: 2,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.22 : 5,464.44 = 1,534.94 : x
  2. Step 2: Convert to fraction form
    3,642.22/5,464.44 = 1,534.94/x
  3. Step 3: Cross multiply
    3,642.22x = 5,464.44 × 1,534.94
  4. Step 4: Simplify right side
    3,642.22x = 8,387,560.21
  5. Step 5: Solve for x
    x = 8,387,560.21/3,642.22
  6. Step 6: Final answer
    x = 2,302.87

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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.