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Finding the Fourth Proportional to 4,322.98, 5,965.62 and 2,531.51

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Solution

The fourth proportional to 4,322.98, 5,965.62 and 2,531.51 is: 3,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.98 : 5,965.62 = 2,531.51 : x
  2. Step 2: Convert to fraction form
    4,322.98/5,965.62 = 2,531.51/x
  3. Step 3: Cross multiply
    4,322.98x = 5,965.62 × 2,531.51
  4. Step 4: Simplify right side
    4,322.98x = 15,102,026.69
  5. Step 5: Solve for x
    x = 15,102,026.69/4,322.98
  6. Step 6: Final answer
    x = 3,493.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.