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Finding the Fourth Proportional to 3,316.29, 4,576.51 and 1,824.17

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Solution

The fourth proportional to 3,316.29, 4,576.51 and 1,824.17 is: 2,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.29 : 4,576.51 = 1,824.17 : x
  2. Step 2: Convert to fraction form
    3,316.29/4,576.51 = 1,824.17/x
  3. Step 3: Cross multiply
    3,316.29x = 4,576.51 × 1,824.17
  4. Step 4: Simplify right side
    3,316.29x = 8,348,345.13
  5. Step 5: Solve for x
    x = 8,348,345.13/3,316.29
  6. Step 6: Final answer
    x = 2,517.37

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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.