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Finding the Fourth Proportional to 5,898.09, 8,847.13 and 2,002.53

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Solution

The fourth proportional to 5,898.09, 8,847.13 and 2,002.53 is: 3,003.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.09 : 8,847.13 = 2,002.53 : x
  2. Step 2: Convert to fraction form
    5,898.09/8,847.13 = 2,002.53/x
  3. Step 3: Cross multiply
    5,898.09x = 8,847.13 × 2,002.53
  4. Step 4: Simplify right side
    5,898.09x = 17,716,643.24
  5. Step 5: Solve for x
    x = 17,716,643.24/5,898.09
  6. Step 6: Final answer
    x = 3,003.79

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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.