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Finding the Fourth Proportional to 4,211.40, 6,317.40 and 1,289.70

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Solution

The fourth proportional to 4,211.40, 6,317.40 and 1,289.70 is: 1,934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.40 : 6,317.40 = 1,289.70 : x
  2. Step 2: Convert to fraction form
    4,211.40/6,317.40 = 1,289.70/x
  3. Step 3: Cross multiply
    4,211.40x = 6,317.40 × 1,289.70
  4. Step 4: Simplify right side
    4,211.40x = 8,147,550.78
  5. Step 5: Solve for x
    x = 8,147,550.78/4,211.40
  6. Step 6: Final answer
    x = 1,934.64

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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.