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Finding the Fourth Proportional to 4,768.80, 7,153.16 and 1,306.05

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Solution

The fourth proportional to 4,768.80, 7,153.16 and 1,306.05 is: 1,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.80 : 7,153.16 = 1,306.05 : x
  2. Step 2: Convert to fraction form
    4,768.80/7,153.16 = 1,306.05/x
  3. Step 3: Cross multiply
    4,768.80x = 7,153.16 × 1,306.05
  4. Step 4: Simplify right side
    4,768.80x = 9,342,378.09
  5. Step 5: Solve for x
    x = 9,342,378.09/4,768.80
  6. Step 6: Final answer
    x = 1,959.06

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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.