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Finding the Fourth Proportional to 4,777.17, 7,165.76 and 2,805.81

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Solution

The fourth proportional to 4,777.17, 7,165.76 and 2,805.81 is: 4,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.17 : 7,165.76 = 2,805.81 : x
  2. Step 2: Convert to fraction form
    4,777.17/7,165.76 = 2,805.81/x
  3. Step 3: Cross multiply
    4,777.17x = 7,165.76 × 2,805.81
  4. Step 4: Simplify right side
    4,777.17x = 20,105,747.04
  5. Step 5: Solve for x
    x = 20,105,747.04/4,777.17
  6. Step 6: Final answer
    x = 4,208.72

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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.