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Finding the Fourth Proportional to 5,879.13, 8,117.01 and 3,643.38

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Solution

The fourth proportional to 5,879.13, 8,117.01 and 3,643.38 is: 5,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.13 : 8,117.01 = 3,643.38 : x
  2. Step 2: Convert to fraction form
    5,879.13/8,117.01 = 3,643.38/x
  3. Step 3: Cross multiply
    5,879.13x = 8,117.01 × 3,643.38
  4. Step 4: Simplify right side
    5,879.13x = 29,573,359.35
  5. Step 5: Solve for x
    x = 29,573,359.35/5,879.13
  6. Step 6: Final answer
    x = 5,030.22

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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.