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Finding the Fourth Proportional to 6,903.24, 9,526.58 and 3,759.42

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Solution

The fourth proportional to 6,903.24, 9,526.58 and 3,759.42 is: 5,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.24 : 9,526.58 = 3,759.42 : x
  2. Step 2: Convert to fraction form
    6,903.24/9,526.58 = 3,759.42/x
  3. Step 3: Cross multiply
    6,903.24x = 9,526.58 × 3,759.42
  4. Step 4: Simplify right side
    6,903.24x = 35,814,415.38
  5. Step 5: Solve for x
    x = 35,814,415.38/6,903.24
  6. Step 6: Final answer
    x = 5,188.06

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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.