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Finding the Fourth Proportional to 5,192.79, 7,165.91 and 4,774.83

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Solution

The fourth proportional to 5,192.79, 7,165.91 and 4,774.83 is: 6,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.79 : 7,165.91 = 4,774.83 : x
  2. Step 2: Convert to fraction form
    5,192.79/7,165.91 = 4,774.83/x
  3. Step 3: Cross multiply
    5,192.79x = 7,165.91 × 4,774.83
  4. Step 4: Simplify right side
    5,192.79x = 34,216,002.05
  5. Step 5: Solve for x
    x = 34,216,002.05/5,192.79
  6. Step 6: Final answer
    x = 6,589.14

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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.