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Finding the Fourth Proportional to 6,182.66, 9,276.36 and 3,719.22

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Solution

The fourth proportional to 6,182.66, 9,276.36 and 3,719.22 is: 5,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.66 : 9,276.36 = 3,719.22 : x
  2. Step 2: Convert to fraction form
    6,182.66/9,276.36 = 3,719.22/x
  3. Step 3: Cross multiply
    6,182.66x = 9,276.36 × 3,719.22
  4. Step 4: Simplify right side
    6,182.66x = 34,500,805.04
  5. Step 5: Solve for x
    x = 34,500,805.04/6,182.66
  6. Step 6: Final answer
    x = 5,580.26

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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.