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Finding the Fourth Proportional to 5,659.86, 7,814.40 and 4,331.18

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Solution

The fourth proportional to 5,659.86, 7,814.40 and 4,331.18 is: 5,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.86 : 7,814.40 = 4,331.18 : x
  2. Step 2: Convert to fraction form
    5,659.86/7,814.40 = 4,331.18/x
  3. Step 3: Cross multiply
    5,659.86x = 7,814.40 × 4,331.18
  4. Step 4: Simplify right side
    5,659.86x = 33,845,572.99
  5. Step 5: Solve for x
    x = 33,845,572.99/5,659.86
  6. Step 6: Final answer
    x = 5,979.93

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