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Finding the Fourth Proportional to 3,408.32, 4,701.84 and 2,965.52

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Solution

The fourth proportional to 3,408.32, 4,701.84 and 2,965.52 is: 4,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.32 : 4,701.84 = 2,965.52 : x
  2. Step 2: Convert to fraction form
    3,408.32/4,701.84 = 2,965.52/x
  3. Step 3: Cross multiply
    3,408.32x = 4,701.84 × 2,965.52
  4. Step 4: Simplify right side
    3,408.32x = 13,943,400.56
  5. Step 5: Solve for x
    x = 13,943,400.56/3,408.32
  6. Step 6: Final answer
    x = 4,090.99

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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.