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Finding the Fourth Proportional to 4,289.80, 6,431.10 and 2,237.80

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Solution

The fourth proportional to 4,289.80, 6,431.10 and 2,237.80 is: 3,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.80 : 6,431.10 = 2,237.80 : x
  2. Step 2: Convert to fraction form
    4,289.80/6,431.10 = 2,237.80/x
  3. Step 3: Cross multiply
    4,289.80x = 6,431.10 × 2,237.80
  4. Step 4: Simplify right side
    4,289.80x = 14,391,515.58
  5. Step 5: Solve for x
    x = 14,391,515.58/4,289.80
  6. Step 6: Final answer
    x = 3,354.82

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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.