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Finding the Fourth Proportional to 5,462.91, 8,182.62 and 5,078.16

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Solution

The fourth proportional to 5,462.91, 8,182.62 and 5,078.16 is: 7,606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.91 : 8,182.62 = 5,078.16 : x
  2. Step 2: Convert to fraction form
    5,462.91/8,182.62 = 5,078.16/x
  3. Step 3: Cross multiply
    5,462.91x = 8,182.62 × 5,078.16
  4. Step 4: Simplify right side
    5,462.91x = 41,552,653.58
  5. Step 5: Solve for x
    x = 41,552,653.58/5,462.91
  6. Step 6: Final answer
    x = 7,606.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.