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Finding the Fourth Proportional to 4,057.65, 5,599.80 and 2,265.39

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Solution

The fourth proportional to 4,057.65, 5,599.80 and 2,265.39 is: 3,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.65 : 5,599.80 = 2,265.39 : x
  2. Step 2: Convert to fraction form
    4,057.65/5,599.80 = 2,265.39/x
  3. Step 3: Cross multiply
    4,057.65x = 5,599.80 × 2,265.39
  4. Step 4: Simplify right side
    4,057.65x = 12,685,730.92
  5. Step 5: Solve for x
    x = 12,685,730.92/4,057.65
  6. Step 6: Final answer
    x = 3,126.37

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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.