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Finding the Fourth Proportional to 4,774.49, 6,583.48 and 3,093.69

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Solution

The fourth proportional to 4,774.49, 6,583.48 and 3,093.69 is: 4,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.49 : 6,583.48 = 3,093.69 : x
  2. Step 2: Convert to fraction form
    4,774.49/6,583.48 = 3,093.69/x
  3. Step 3: Cross multiply
    4,774.49x = 6,583.48 × 3,093.69
  4. Step 4: Simplify right side
    4,774.49x = 20,367,263.20
  5. Step 5: Solve for x
    x = 20,367,263.20/4,774.49
  6. Step 6: Final answer
    x = 4,265.85

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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.