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Finding the Fourth Proportional to 4,182.81, 6,237.66 and 3,665.22

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Solution

The fourth proportional to 4,182.81, 6,237.66 and 3,665.22 is: 5,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.81 : 6,237.66 = 3,665.22 : x
  2. Step 2: Convert to fraction form
    4,182.81/6,237.66 = 3,665.22/x
  3. Step 3: Cross multiply
    4,182.81x = 6,237.66 × 3,665.22
  4. Step 4: Simplify right side
    4,182.81x = 22,862,396.19
  5. Step 5: Solve for x
    x = 22,862,396.19/4,182.81
  6. Step 6: Final answer
    x = 5,465.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.