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Finding the Fourth Proportional to 4,162.68, 5,746.98 and 2,592.92

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Solution

The fourth proportional to 4,162.68, 5,746.98 and 2,592.92 is: 3,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.68 : 5,746.98 = 2,592.92 : x
  2. Step 2: Convert to fraction form
    4,162.68/5,746.98 = 2,592.92/x
  3. Step 3: Cross multiply
    4,162.68x = 5,746.98 × 2,592.92
  4. Step 4: Simplify right side
    4,162.68x = 14,901,459.38
  5. Step 5: Solve for x
    x = 14,901,459.38/4,162.68
  6. Step 6: Final answer
    x = 3,579.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.