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Finding the Fourth Proportional to 5,205.37, 7,795.08 and 4,343.53

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Solution

The fourth proportional to 5,205.37, 7,795.08 and 4,343.53 is: 6,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.37 : 7,795.08 = 4,343.53 : x
  2. Step 2: Convert to fraction form
    5,205.37/7,795.08 = 4,343.53/x
  3. Step 3: Cross multiply
    5,205.37x = 7,795.08 × 4,343.53
  4. Step 4: Simplify right side
    5,205.37x = 33,858,163.83
  5. Step 5: Solve for x
    x = 33,858,163.83/5,205.37
  6. Step 6: Final answer
    x = 6,504.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.