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Finding the Fourth Proportional to 6,581.06, 9,081.68 and 3,597.02

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Solution

The fourth proportional to 6,581.06, 9,081.68 and 3,597.02 is: 4,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.06 : 9,081.68 = 3,597.02 : x
  2. Step 2: Convert to fraction form
    6,581.06/9,081.68 = 3,597.02/x
  3. Step 3: Cross multiply
    6,581.06x = 9,081.68 × 3,597.02
  4. Step 4: Simplify right side
    6,581.06x = 32,666,984.59
  5. Step 5: Solve for x
    x = 32,666,984.59/6,581.06
  6. Step 6: Final answer
    x = 4,963.79

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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.