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Finding the Fourth Proportional to 4,101.66, 5,656.50 and 3,627.81

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Solution

The fourth proportional to 4,101.66, 5,656.50 and 3,627.81 is: 5,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.66 : 5,656.50 = 3,627.81 : x
  2. Step 2: Convert to fraction form
    4,101.66/5,656.50 = 3,627.81/x
  3. Step 3: Cross multiply
    4,101.66x = 5,656.50 × 3,627.81
  4. Step 4: Simplify right side
    4,101.66x = 20,520,707.27
  5. Step 5: Solve for x
    x = 20,520,707.27/4,101.66
  6. Step 6: Final answer
    x = 5,003.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.