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Finding the Fourth Proportional to 5,893.84, 8,130.12 and 3,682

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Solution

The fourth proportional to 5,893.84, 8,130.12 and 3,682 is: 5,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.84 : 8,130.12 = 3,682 : x
  2. Step 2: Convert to fraction form
    5,893.84/8,130.12 = 3,682/x
  3. Step 3: Cross multiply
    5,893.84x = 8,130.12 × 3,682
  4. Step 4: Simplify right side
    5,893.84x = 29,935,101.84
  5. Step 5: Solve for x
    x = 29,935,101.84/5,893.84
  6. Step 6: Final answer
    x = 5,079.05

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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.