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Finding the Fourth Proportional to 6,554.95, 9,041.69 and 3,900.38

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Solution

The fourth proportional to 6,554.95, 9,041.69 and 3,900.38 is: 5,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.95 : 9,041.69 = 3,900.38 : x
  2. Step 2: Convert to fraction form
    6,554.95/9,041.69 = 3,900.38/x
  3. Step 3: Cross multiply
    6,554.95x = 9,041.69 × 3,900.38
  4. Step 4: Simplify right side
    6,554.95x = 35,265,991.38
  5. Step 5: Solve for x
    x = 35,265,991.38/6,554.95
  6. Step 6: Final answer
    x = 5,380.06

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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.