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Finding the Fourth Proportional to 5,647.39, 7,797.20 and 3,526.15

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Solution

The fourth proportional to 5,647.39, 7,797.20 and 3,526.15 is: 4,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.39 : 7,797.20 = 3,526.15 : x
  2. Step 2: Convert to fraction form
    5,647.39/7,797.20 = 3,526.15/x
  3. Step 3: Cross multiply
    5,647.39x = 7,797.20 × 3,526.15
  4. Step 4: Simplify right side
    5,647.39x = 27,494,096.78
  5. Step 5: Solve for x
    x = 27,494,096.78/5,647.39
  6. Step 6: Final answer
    x = 4,868.46

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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.