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Finding the Fourth Proportional to 3,952.32, 5,926.62 and 2,309.34

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Solution

The fourth proportional to 3,952.32, 5,926.62 and 2,309.34 is: 3,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.32 : 5,926.62 = 2,309.34 : x
  2. Step 2: Convert to fraction form
    3,952.32/5,926.62 = 2,309.34/x
  3. Step 3: Cross multiply
    3,952.32x = 5,926.62 × 2,309.34
  4. Step 4: Simplify right side
    3,952.32x = 13,686,580.63
  5. Step 5: Solve for x
    x = 13,686,580.63/3,952.32
  6. Step 6: Final answer
    x = 3,462.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.