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Finding the Fourth Proportional to 3,147.80, 4,717.83 and 1,390.91

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Solution

The fourth proportional to 3,147.80, 4,717.83 and 1,390.91 is: 2,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.80 : 4,717.83 = 1,390.91 : x
  2. Step 2: Convert to fraction form
    3,147.80/4,717.83 = 1,390.91/x
  3. Step 3: Cross multiply
    3,147.80x = 4,717.83 × 1,390.91
  4. Step 4: Simplify right side
    3,147.80x = 6,562,077.27
  5. Step 5: Solve for x
    x = 6,562,077.27/3,147.80
  6. Step 6: Final answer
    x = 2,084.65

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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.