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Finding the Fourth Proportional to 3,646.62, 5,032.34 and 2,074.82

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Solution

The fourth proportional to 3,646.62, 5,032.34 and 2,074.82 is: 2,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.62 : 5,032.34 = 2,074.82 : x
  2. Step 2: Convert to fraction form
    3,646.62/5,032.34 = 2,074.82/x
  3. Step 3: Cross multiply
    3,646.62x = 5,032.34 × 2,074.82
  4. Step 4: Simplify right side
    3,646.62x = 10,441,199.68
  5. Step 5: Solve for x
    x = 10,441,199.68/3,646.62
  6. Step 6: Final answer
    x = 2,863.25

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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.