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Finding the Fourth Proportional to 4,287.84, 6,431.76 and 1,209.84

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Solution

The fourth proportional to 4,287.84, 6,431.76 and 1,209.84 is: 1,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.84 : 6,431.76 = 1,209.84 : x
  2. Step 2: Convert to fraction form
    4,287.84/6,431.76 = 1,209.84/x
  3. Step 3: Cross multiply
    4,287.84x = 6,431.76 × 1,209.84
  4. Step 4: Simplify right side
    4,287.84x = 7,781,400.52
  5. Step 5: Solve for x
    x = 7,781,400.52/4,287.84
  6. Step 6: Final answer
    x = 1,814.76

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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.