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Finding the Fourth Proportional to 4,062, 5,603.40 and 3,066.24

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Solution

The fourth proportional to 4,062, 5,603.40 and 3,066.24 is: 4,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062 : 5,603.40 = 3,066.24 : x
  2. Step 2: Convert to fraction form
    4,062/5,603.40 = 3,066.24/x
  3. Step 3: Cross multiply
    4,062x = 5,603.40 × 3,066.24
  4. Step 4: Simplify right side
    4,062x = 17,181,369.22
  5. Step 5: Solve for x
    x = 17,181,369.22/4,062
  6. Step 6: Final answer
    x = 4,229.78

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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.