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Finding the Fourth Proportional to 5,774.09, 8,654.95 and 3,000.08

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Solution

The fourth proportional to 5,774.09, 8,654.95 and 3,000.08 is: 4,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.09 : 8,654.95 = 3,000.08 : x
  2. Step 2: Convert to fraction form
    5,774.09/8,654.95 = 3,000.08/x
  3. Step 3: Cross multiply
    5,774.09x = 8,654.95 × 3,000.08
  4. Step 4: Simplify right side
    5,774.09x = 25,965,542.40
  5. Step 5: Solve for x
    x = 25,965,542.40/5,774.09
  6. Step 6: Final answer
    x = 4,496.91

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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.