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Finding the Fourth Proportional to 3,905, 5,851.32 and 2,736.98

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Solution

The fourth proportional to 3,905, 5,851.32 and 2,736.98 is: 4,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905 : 5,851.32 = 2,736.98 : x
  2. Step 2: Convert to fraction form
    3,905/5,851.32 = 2,736.98/x
  3. Step 3: Cross multiply
    3,905x = 5,851.32 × 2,736.98
  4. Step 4: Simplify right side
    3,905x = 16,014,945.81
  5. Step 5: Solve for x
    x = 16,014,945.81/3,905
  6. Step 6: Final answer
    x = 4,101.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.