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Finding the Fourth Proportional to 5,597.97, 7,725.08 and 3,079.93

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Solution

The fourth proportional to 5,597.97, 7,725.08 and 3,079.93 is: 4,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.97 : 7,725.08 = 3,079.93 : x
  2. Step 2: Convert to fraction form
    5,597.97/7,725.08 = 3,079.93/x
  3. Step 3: Cross multiply
    5,597.97x = 7,725.08 × 3,079.93
  4. Step 4: Simplify right side
    5,597.97x = 23,792,705.64
  5. Step 5: Solve for x
    x = 23,792,705.64/5,597.97
  6. Step 6: Final answer
    x = 4,250.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.