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Finding the Fourth Proportional to 6,178.66, 8,526.90 and 3,662.26

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Solution

The fourth proportional to 6,178.66, 8,526.90 and 3,662.26 is: 5,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.66 : 8,526.90 = 3,662.26 : x
  2. Step 2: Convert to fraction form
    6,178.66/8,526.90 = 3,662.26/x
  3. Step 3: Cross multiply
    6,178.66x = 8,526.90 × 3,662.26
  4. Step 4: Simplify right side
    6,178.66x = 31,227,724.79
  5. Step 5: Solve for x
    x = 31,227,724.79/6,178.66
  6. Step 6: Final answer
    x = 5,054.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.