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Finding the Fourth Proportional to 4,322.62, 5,965.20 and 2,459.62

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Solution

The fourth proportional to 4,322.62, 5,965.20 and 2,459.62 is: 3,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.62 : 5,965.20 = 2,459.62 : x
  2. Step 2: Convert to fraction form
    4,322.62/5,965.20 = 2,459.62/x
  3. Step 3: Cross multiply
    4,322.62x = 5,965.20 × 2,459.62
  4. Step 4: Simplify right side
    4,322.62x = 14,672,125.22
  5. Step 5: Solve for x
    x = 14,672,125.22/4,322.62
  6. Step 6: Final answer
    x = 3,394.27

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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.