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Finding the Fourth Proportional to 4,780.56, 7,170.84 and 1,317.84

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Solution

The fourth proportional to 4,780.56, 7,170.84 and 1,317.84 is: 1,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.56 : 7,170.84 = 1,317.84 : x
  2. Step 2: Convert to fraction form
    4,780.56/7,170.84 = 1,317.84/x
  3. Step 3: Cross multiply
    4,780.56x = 7,170.84 × 1,317.84
  4. Step 4: Simplify right side
    4,780.56x = 9,450,019.79
  5. Step 5: Solve for x
    x = 9,450,019.79/4,780.56
  6. Step 6: Final answer
    x = 1,976.76

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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.