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Finding the Fourth Proportional to 5,679.77, 7,838.55 and 3,162.33

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Solution

The fourth proportional to 5,679.77, 7,838.55 and 3,162.33 is: 4,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.77 : 7,838.55 = 3,162.33 : x
  2. Step 2: Convert to fraction form
    5,679.77/7,838.55 = 3,162.33/x
  3. Step 3: Cross multiply
    5,679.77x = 7,838.55 × 3,162.33
  4. Step 4: Simplify right side
    5,679.77x = 24,788,081.82
  5. Step 5: Solve for x
    x = 24,788,081.82/5,679.77
  6. Step 6: Final answer
    x = 4,364.28

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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.