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Finding the Fourth Proportional to 4,322.52, 5,965.38 and 2,459.52

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Solution

The fourth proportional to 4,322.52, 5,965.38 and 2,459.52 is: 3,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.52 : 5,965.38 = 2,459.52 : x
  2. Step 2: Convert to fraction form
    4,322.52/5,965.38 = 2,459.52/x
  3. Step 3: Cross multiply
    4,322.52x = 5,965.38 × 2,459.52
  4. Step 4: Simplify right side
    4,322.52x = 14,671,971.42
  5. Step 5: Solve for x
    x = 14,671,971.42/4,322.52
  6. Step 6: Final answer
    x = 3,394.31

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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.