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Finding the Fourth Proportional to 4,062.69, 5,606.58 and 2,270.38

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Solution

The fourth proportional to 4,062.69, 5,606.58 and 2,270.38 is: 3,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.69 : 5,606.58 = 2,270.38 : x
  2. Step 2: Convert to fraction form
    4,062.69/5,606.58 = 2,270.38/x
  3. Step 3: Cross multiply
    4,062.69x = 5,606.58 × 2,270.38
  4. Step 4: Simplify right side
    4,062.69x = 12,729,062.53
  5. Step 5: Solve for x
    x = 12,729,062.53/4,062.69
  6. Step 6: Final answer
    x = 3,133.16

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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.