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Finding the Fourth Proportional to 6,100.77, 8,419.14 and 3,582.92

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Solution

The fourth proportional to 6,100.77, 8,419.14 and 3,582.92 is: 4,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.77 : 8,419.14 = 3,582.92 : x
  2. Step 2: Convert to fraction form
    6,100.77/8,419.14 = 3,582.92/x
  3. Step 3: Cross multiply
    6,100.77x = 8,419.14 × 3,582.92
  4. Step 4: Simplify right side
    6,100.77x = 30,165,062.99
  5. Step 5: Solve for x
    x = 30,165,062.99/6,100.77
  6. Step 6: Final answer
    x = 4,944.47

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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.