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Finding the Fourth Proportional to 5,794.95, 8,671.67 and 5,017.65

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Solution

The fourth proportional to 5,794.95, 8,671.67 and 5,017.65 is: 7,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.95 : 8,671.67 = 5,017.65 : x
  2. Step 2: Convert to fraction form
    5,794.95/8,671.67 = 5,017.65/x
  3. Step 3: Cross multiply
    5,794.95x = 8,671.67 × 5,017.65
  4. Step 4: Simplify right side
    5,794.95x = 43,511,404.98
  5. Step 5: Solve for x
    x = 43,511,404.98/5,794.95
  6. Step 6: Final answer
    x = 7,508.50

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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.