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Finding the Fourth Proportional to 3,796.09, 5,697.32 and 1,948.98

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Solution

The fourth proportional to 3,796.09, 5,697.32 and 1,948.98 is: 2,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.09 : 5,697.32 = 1,948.98 : x
  2. Step 2: Convert to fraction form
    3,796.09/5,697.32 = 1,948.98/x
  3. Step 3: Cross multiply
    3,796.09x = 5,697.32 × 1,948.98
  4. Step 4: Simplify right side
    3,796.09x = 11,103,962.73
  5. Step 5: Solve for x
    x = 11,103,962.73/3,796.09
  6. Step 6: Final answer
    x = 2,925.11

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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.