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Finding the Fourth Proportional to 3,062, 4,223.64 and 2,442.48

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Solution

The fourth proportional to 3,062, 4,223.64 and 2,442.48 is: 3,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062 : 4,223.64 = 2,442.48 : x
  2. Step 2: Convert to fraction form
    3,062/4,223.64 = 2,442.48/x
  3. Step 3: Cross multiply
    3,062x = 4,223.64 × 2,442.48
  4. Step 4: Simplify right side
    3,062x = 10,316,156.23
  5. Step 5: Solve for x
    x = 10,316,156.23/3,062
  6. Step 6: Final answer
    x = 3,369.09

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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.