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Finding the Fourth Proportional to 4,809.87, 7,205.37 and 4,287.42

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Solution

The fourth proportional to 4,809.87, 7,205.37 and 4,287.42 is: 6,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.87 : 7,205.37 = 4,287.42 : x
  2. Step 2: Convert to fraction form
    4,809.87/7,205.37 = 4,287.42/x
  3. Step 3: Cross multiply
    4,809.87x = 7,205.37 × 4,287.42
  4. Step 4: Simplify right side
    4,809.87x = 30,892,447.45
  5. Step 5: Solve for x
    x = 30,892,447.45/4,809.87
  6. Step 6: Final answer
    x = 6,422.72

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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.