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Finding the Fourth Proportional to 3,673, 5,068.74 and 2,101.06

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Solution

The fourth proportional to 3,673, 5,068.74 and 2,101.06 is: 2,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673 : 5,068.74 = 2,101.06 : x
  2. Step 2: Convert to fraction form
    3,673/5,068.74 = 2,101.06/x
  3. Step 3: Cross multiply
    3,673x = 5,068.74 × 2,101.06
  4. Step 4: Simplify right side
    3,673x = 10,649,726.86
  5. Step 5: Solve for x
    x = 10,649,726.86/3,673
  6. Step 6: Final answer
    x = 2,899.46

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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.