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Finding the Fourth Proportional to 4,771.91, 7,158.06 and 1,309.16

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Solution

The fourth proportional to 4,771.91, 7,158.06 and 1,309.16 is: 1,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.91 : 7,158.06 = 1,309.16 : x
  2. Step 2: Convert to fraction form
    4,771.91/7,158.06 = 1,309.16/x
  3. Step 3: Cross multiply
    4,771.91x = 7,158.06 × 1,309.16
  4. Step 4: Simplify right side
    4,771.91x = 9,371,010.04
  5. Step 5: Solve for x
    x = 9,371,010.04/4,771.91
  6. Step 6: Final answer
    x = 1,963.79

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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.