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Finding the Fourth Proportional to 5,597.91, 7,725.78 and 3,240.14

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Solution

The fourth proportional to 5,597.91, 7,725.78 and 3,240.14 is: 4,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.91 : 7,725.78 = 3,240.14 : x
  2. Step 2: Convert to fraction form
    5,597.91/7,725.78 = 3,240.14/x
  3. Step 3: Cross multiply
    5,597.91x = 7,725.78 × 3,240.14
  4. Step 4: Simplify right side
    5,597.91x = 25,032,570.18
  5. Step 5: Solve for x
    x = 25,032,570.18/5,597.91
  6. Step 6: Final answer
    x = 4,471.77

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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.