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Finding the Fourth Proportional to 5,733.32, 7,912.31 and 4,314.46

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Solution

The fourth proportional to 5,733.32, 7,912.31 and 4,314.46 is: 5,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.32 : 7,912.31 = 4,314.46 : x
  2. Step 2: Convert to fraction form
    5,733.32/7,912.31 = 4,314.46/x
  3. Step 3: Cross multiply
    5,733.32x = 7,912.31 × 4,314.46
  4. Step 4: Simplify right side
    5,733.32x = 34,137,303.65
  5. Step 5: Solve for x
    x = 34,137,303.65/5,733.32
  6. Step 6: Final answer
    x = 5,954.19

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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.