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Finding the Fourth Proportional to 5,718.64, 8,578.99 and 2,023.02

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Solution

The fourth proportional to 5,718.64, 8,578.99 and 2,023.02 is: 3,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.64 : 8,578.99 = 2,023.02 : x
  2. Step 2: Convert to fraction form
    5,718.64/8,578.99 = 2,023.02/x
  3. Step 3: Cross multiply
    5,718.64x = 8,578.99 × 2,023.02
  4. Step 4: Simplify right side
    5,718.64x = 17,355,468.35
  5. Step 5: Solve for x
    x = 17,355,468.35/5,718.64
  6. Step 6: Final answer
    x = 3,034.89

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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.