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Finding the Fourth Proportional to 3,462.98, 4,776.27 and 2,204.24

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Solution

The fourth proportional to 3,462.98, 4,776.27 and 2,204.24 is: 3,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.98 : 4,776.27 = 2,204.24 : x
  2. Step 2: Convert to fraction form
    3,462.98/4,776.27 = 2,204.24/x
  3. Step 3: Cross multiply
    3,462.98x = 4,776.27 × 2,204.24
  4. Step 4: Simplify right side
    3,462.98x = 10,528,045.38
  5. Step 5: Solve for x
    x = 10,528,045.38/3,462.98
  6. Step 6: Final answer
    x = 3,040.17

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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.