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Finding the Fourth Proportional to 3,795.84, 5,693.60 and 2,266.56

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Solution

The fourth proportional to 3,795.84, 5,693.60 and 2,266.56 is: 3,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.84 : 5,693.60 = 2,266.56 : x
  2. Step 2: Convert to fraction form
    3,795.84/5,693.60 = 2,266.56/x
  3. Step 3: Cross multiply
    3,795.84x = 5,693.60 × 2,266.56
  4. Step 4: Simplify right side
    3,795.84x = 12,904,886.02
  5. Step 5: Solve for x
    x = 12,904,886.02/3,795.84
  6. Step 6: Final answer
    x = 3,399.74

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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.