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Finding the Fourth Proportional to 5,006.31, 7,509.39 and 1,674.78

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Solution

The fourth proportional to 5,006.31, 7,509.39 and 1,674.78 is: 2,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.31 : 7,509.39 = 1,674.78 : x
  2. Step 2: Convert to fraction form
    5,006.31/7,509.39 = 1,674.78/x
  3. Step 3: Cross multiply
    5,006.31x = 7,509.39 × 1,674.78
  4. Step 4: Simplify right side
    5,006.31x = 12,576,576.18
  5. Step 5: Solve for x
    x = 12,576,576.18/5,006.31
  6. Step 6: Final answer
    x = 2,512.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.