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Finding the Fourth Proportional to 3,425.84, 5,113.98 and 3,010.66

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Solution

The fourth proportional to 3,425.84, 5,113.98 and 3,010.66 is: 4,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.84 : 5,113.98 = 3,010.66 : x
  2. Step 2: Convert to fraction form
    3,425.84/5,113.98 = 3,010.66/x
  3. Step 3: Cross multiply
    3,425.84x = 5,113.98 × 3,010.66
  4. Step 4: Simplify right side
    3,425.84x = 15,396,455.03
  5. Step 5: Solve for x
    x = 15,396,455.03/3,425.84
  6. Step 6: Final answer
    x = 4,494.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.