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Finding the Fourth Proportional to 5,834.82, 8,052.10 and 3,477.04

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Solution

The fourth proportional to 5,834.82, 8,052.10 and 3,477.04 is: 4,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.82 : 8,052.10 = 3,477.04 : x
  2. Step 2: Convert to fraction form
    5,834.82/8,052.10 = 3,477.04/x
  3. Step 3: Cross multiply
    5,834.82x = 8,052.10 × 3,477.04
  4. Step 4: Simplify right side
    5,834.82x = 27,997,473.78
  5. Step 5: Solve for x
    x = 27,997,473.78/5,834.82
  6. Step 6: Final answer
    x = 4,798.34

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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.