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Finding the Fourth Proportional to 5,854.25, 8,079 and 3,617.66

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Solution

The fourth proportional to 5,854.25, 8,079 and 3,617.66 is: 4,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.25 : 8,079 = 3,617.66 : x
  2. Step 2: Convert to fraction form
    5,854.25/8,079 = 3,617.66/x
  3. Step 3: Cross multiply
    5,854.25x = 8,079 × 3,617.66
  4. Step 4: Simplify right side
    5,854.25x = 29,227,075.14
  5. Step 5: Solve for x
    x = 29,227,075.14/5,854.25
  6. Step 6: Final answer
    x = 4,992.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.