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Finding the Fourth Proportional to 5,672.96, 7,828.71 and 3,314.60

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Solution

The fourth proportional to 5,672.96, 7,828.71 and 3,314.60 is: 4,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.96 : 7,828.71 = 3,314.60 : x
  2. Step 2: Convert to fraction form
    5,672.96/7,828.71 = 3,314.60/x
  3. Step 3: Cross multiply
    5,672.96x = 7,828.71 × 3,314.60
  4. Step 4: Simplify right side
    5,672.96x = 25,949,042.17
  5. Step 5: Solve for x
    x = 25,949,042.17/5,672.96
  6. Step 6: Final answer
    x = 4,574.16

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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.