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Finding the Fourth Proportional to 3,894.84, 5,830.92 and 3,026.52

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Solution

The fourth proportional to 3,894.84, 5,830.92 and 3,026.52 is: 4,530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.84 : 5,830.92 = 3,026.52 : x
  2. Step 2: Convert to fraction form
    3,894.84/5,830.92 = 3,026.52/x
  3. Step 3: Cross multiply
    3,894.84x = 5,830.92 × 3,026.52
  4. Step 4: Simplify right side
    3,894.84x = 17,647,396.00
  5. Step 5: Solve for x
    x = 17,647,396.00/3,894.84
  6. Step 6: Final answer
    x = 4,530.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.