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Finding the Fourth Proportional to 5,899.04, 8,142.72 and 3,803.84

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Solution

The fourth proportional to 5,899.04, 8,142.72 and 3,803.84 is: 5,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.04 : 8,142.72 = 3,803.84 : x
  2. Step 2: Convert to fraction form
    5,899.04/8,142.72 = 3,803.84/x
  3. Step 3: Cross multiply
    5,899.04x = 8,142.72 × 3,803.84
  4. Step 4: Simplify right side
    5,899.04x = 30,973,604.04
  5. Step 5: Solve for x
    x = 30,973,604.04/5,899.04
  6. Step 6: Final answer
    x = 5,250.62

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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.