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Finding the Fourth Proportional to 4,176.54, 5,761.26 and 2,605.54

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Solution

The fourth proportional to 4,176.54, 5,761.26 and 2,605.54 is: 3,594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.54 : 5,761.26 = 2,605.54 : x
  2. Step 2: Convert to fraction form
    4,176.54/5,761.26 = 2,605.54/x
  3. Step 3: Cross multiply
    4,176.54x = 5,761.26 × 2,605.54
  4. Step 4: Simplify right side
    4,176.54x = 15,011,193.38
  5. Step 5: Solve for x
    x = 15,011,193.38/4,176.54
  6. Step 6: Final answer
    x = 3,594.17

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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.