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Finding the Fourth Proportional to 5,046.92, 7,568.46 and 2,309

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Solution

The fourth proportional to 5,046.92, 7,568.46 and 2,309 is: 3,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.92 : 7,568.46 = 2,309 : x
  2. Step 2: Convert to fraction form
    5,046.92/7,568.46 = 2,309/x
  3. Step 3: Cross multiply
    5,046.92x = 7,568.46 × 2,309
  4. Step 4: Simplify right side
    5,046.92x = 17,475,574.14
  5. Step 5: Solve for x
    x = 17,475,574.14/5,046.92
  6. Step 6: Final answer
    x = 3,462.62

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Why These Related Problems?

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