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Finding the Fourth Proportional to 5,607.50, 7,740.97 and 3,249.18

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Solution

The fourth proportional to 5,607.50, 7,740.97 and 3,249.18 is: 4,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.50 : 7,740.97 = 3,249.18 : x
  2. Step 2: Convert to fraction form
    5,607.50/7,740.97 = 3,249.18/x
  3. Step 3: Cross multiply
    5,607.50x = 7,740.97 × 3,249.18
  4. Step 4: Simplify right side
    5,607.50x = 25,151,796.78
  5. Step 5: Solve for x
    x = 25,151,796.78/5,607.50
  6. Step 6: Final answer
    x = 4,485.39

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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.