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Finding the Fourth Proportional to 6,395.55, 9,581.44 and 3,476.31

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Solution

The fourth proportional to 6,395.55, 9,581.44 and 3,476.31 is: 5,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.55 : 9,581.44 = 3,476.31 : x
  2. Step 2: Convert to fraction form
    6,395.55/9,581.44 = 3,476.31/x
  3. Step 3: Cross multiply
    6,395.55x = 9,581.44 × 3,476.31
  4. Step 4: Simplify right side
    6,395.55x = 33,308,055.69
  5. Step 5: Solve for x
    x = 33,308,055.69/6,395.55
  6. Step 6: Final answer
    x = 5,208.00

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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.