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Finding the Fourth Proportional to 5,733.59, 7,911.78 and 3,496.01

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Solution

The fourth proportional to 5,733.59, 7,911.78 and 3,496.01 is: 4,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.59 : 7,911.78 = 3,496.01 : x
  2. Step 2: Convert to fraction form
    5,733.59/7,911.78 = 3,496.01/x
  3. Step 3: Cross multiply
    5,733.59x = 7,911.78 × 3,496.01
  4. Step 4: Simplify right side
    5,733.59x = 27,659,653.83
  5. Step 5: Solve for x
    x = 27,659,653.83/5,733.59
  6. Step 6: Final answer
    x = 4,824.15

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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.