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Finding the Fourth Proportional to 3,883.57, 5,359.94 and 2,312.57

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Solution

The fourth proportional to 3,883.57, 5,359.94 and 2,312.57 is: 3,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.57 : 5,359.94 = 2,312.57 : x
  2. Step 2: Convert to fraction form
    3,883.57/5,359.94 = 2,312.57/x
  3. Step 3: Cross multiply
    3,883.57x = 5,359.94 × 2,312.57
  4. Step 4: Simplify right side
    3,883.57x = 12,395,246.95
  5. Step 5: Solve for x
    x = 12,395,246.95/3,883.57
  6. Step 6: Final answer
    x = 3,191.72

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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.