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Finding the Fourth Proportional to 5,066.65, 6,992.09 and 3,178.31

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Solution

The fourth proportional to 5,066.65, 6,992.09 and 3,178.31 is: 4,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.65 : 6,992.09 = 3,178.31 : x
  2. Step 2: Convert to fraction form
    5,066.65/6,992.09 = 3,178.31/x
  3. Step 3: Cross multiply
    5,066.65x = 6,992.09 × 3,178.31
  4. Step 4: Simplify right side
    5,066.65x = 22,222,978.72
  5. Step 5: Solve for x
    x = 22,222,978.72/5,066.65
  6. Step 6: Final answer
    x = 4,386.13

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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.