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Finding the Fourth Proportional to 3,670.41, 5,065.08 and 2,098.41

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Solution

The fourth proportional to 3,670.41, 5,065.08 and 2,098.41 is: 2,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.41 : 5,065.08 = 2,098.41 : x
  2. Step 2: Convert to fraction form
    3,670.41/5,065.08 = 2,098.41/x
  3. Step 3: Cross multiply
    3,670.41x = 5,065.08 × 2,098.41
  4. Step 4: Simplify right side
    3,670.41x = 10,628,614.52
  5. Step 5: Solve for x
    x = 10,628,614.52/3,670.41
  6. Step 6: Final answer
    x = 2,895.76

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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.