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Finding the Fourth Proportional to 5,672.15, 7,828.19 and 3,314.13

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Solution

The fourth proportional to 5,672.15, 7,828.19 and 3,314.13 is: 4,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.15 : 7,828.19 = 3,314.13 : x
  2. Step 2: Convert to fraction form
    5,672.15/7,828.19 = 3,314.13/x
  3. Step 3: Cross multiply
    5,672.15x = 7,828.19 × 3,314.13
  4. Step 4: Simplify right side
    5,672.15x = 25,943,639.32
  5. Step 5: Solve for x
    x = 25,943,639.32/5,672.15
  6. Step 6: Final answer
    x = 4,573.86

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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.