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Finding the Fourth Proportional to 4,057.76, 5,599.45 and 2,464.76

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Solution

The fourth proportional to 4,057.76, 5,599.45 and 2,464.76 is: 3,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.76 : 5,599.45 = 2,464.76 : x
  2. Step 2: Convert to fraction form
    4,057.76/5,599.45 = 2,464.76/x
  3. Step 3: Cross multiply
    4,057.76x = 5,599.45 × 2,464.76
  4. Step 4: Simplify right side
    4,057.76x = 13,801,300.38
  5. Step 5: Solve for x
    x = 13,801,300.38/4,057.76
  6. Step 6: Final answer
    x = 3,401.21

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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.