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Finding the Fourth Proportional to 6,904.85, 9,528.64 and 3,761.03

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Solution

The fourth proportional to 6,904.85, 9,528.64 and 3,761.03 is: 5,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.85 : 9,528.64 = 3,761.03 : x
  2. Step 2: Convert to fraction form
    6,904.85/9,528.64 = 3,761.03/x
  3. Step 3: Cross multiply
    6,904.85x = 9,528.64 × 3,761.03
  4. Step 4: Simplify right side
    6,904.85x = 35,837,515.32
  5. Step 5: Solve for x
    x = 35,837,515.32/6,904.85
  6. Step 6: Final answer
    x = 5,190.20

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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.