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Finding the Fourth Proportional to 3,059.87, 4,589.19 and 868.01

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Solution

The fourth proportional to 3,059.87, 4,589.19 and 868.01 is: 1,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.87 : 4,589.19 = 868.01 : x
  2. Step 2: Convert to fraction form
    3,059.87/4,589.19 = 868.01/x
  3. Step 3: Cross multiply
    3,059.87x = 4,589.19 × 868.01
  4. Step 4: Simplify right side
    3,059.87x = 3,983,462.81
  5. Step 5: Solve for x
    x = 3,983,462.81/3,059.87
  6. Step 6: Final answer
    x = 1,301.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.