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Finding the Fourth Proportional to 3,570.29, 4,926.31 and 2,311.17

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Solution

The fourth proportional to 3,570.29, 4,926.31 and 2,311.17 is: 3,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.29 : 4,926.31 = 2,311.17 : x
  2. Step 2: Convert to fraction form
    3,570.29/4,926.31 = 2,311.17/x
  3. Step 3: Cross multiply
    3,570.29x = 4,926.31 × 2,311.17
  4. Step 4: Simplify right side
    3,570.29x = 11,385,524.30
  5. Step 5: Solve for x
    x = 11,385,524.30/3,570.29
  6. Step 6: Final answer
    x = 3,188.96

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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.