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Finding the Fourth Proportional to 4,587.87, 6,882.84 and 1,468.07

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Solution

The fourth proportional to 4,587.87, 6,882.84 and 1,468.07 is: 2,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.87 : 6,882.84 = 1,468.07 : x
  2. Step 2: Convert to fraction form
    4,587.87/6,882.84 = 1,468.07/x
  3. Step 3: Cross multiply
    4,587.87x = 6,882.84 × 1,468.07
  4. Step 4: Simplify right side
    4,587.87x = 10,104,467.00
  5. Step 5: Solve for x
    x = 10,104,467.00/4,587.87
  6. Step 6: Final answer
    x = 2,202.43

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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.