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Finding the Fourth Proportional to 4,287.67, 6,437.45 and 2,209.16

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Solution

The fourth proportional to 4,287.67, 6,437.45 and 2,209.16 is: 3,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.67 : 6,437.45 = 2,209.16 : x
  2. Step 2: Convert to fraction form
    4,287.67/6,437.45 = 2,209.16/x
  3. Step 3: Cross multiply
    4,287.67x = 6,437.45 × 2,209.16
  4. Step 4: Simplify right side
    4,287.67x = 14,221,378.66
  5. Step 5: Solve for x
    x = 14,221,378.66/4,287.67
  6. Step 6: Final answer
    x = 3,316.81

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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.