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Finding the Fourth Proportional to 3,496.01, 4,824.58 and 1,902.74

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Solution

The fourth proportional to 3,496.01, 4,824.58 and 1,902.74 is: 2,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.01 : 4,824.58 = 1,902.74 : x
  2. Step 2: Convert to fraction form
    3,496.01/4,824.58 = 1,902.74/x
  3. Step 3: Cross multiply
    3,496.01x = 4,824.58 × 1,902.74
  4. Step 4: Simplify right side
    3,496.01x = 9,179,928.65
  5. Step 5: Solve for x
    x = 9,179,928.65/3,496.01
  6. Step 6: Final answer
    x = 2,625.83

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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.