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Finding the Fourth Proportional to 4,591.77, 6,336.83 and 2,823.96

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Solution

The fourth proportional to 4,591.77, 6,336.83 and 2,823.96 is: 3,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.77 : 6,336.83 = 2,823.96 : x
  2. Step 2: Convert to fraction form
    4,591.77/6,336.83 = 2,823.96/x
  3. Step 3: Cross multiply
    4,591.77x = 6,336.83 × 2,823.96
  4. Step 4: Simplify right side
    4,591.77x = 17,894,929.82
  5. Step 5: Solve for x
    x = 17,894,929.82/4,591.77
  6. Step 6: Final answer
    x = 3,897.18

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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.