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Finding the Fourth Proportional to 6,298.04, 8,682.20 and 4,170.01

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Solution

The fourth proportional to 6,298.04, 8,682.20 and 4,170.01 is: 5,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.04 : 8,682.20 = 4,170.01 : x
  2. Step 2: Convert to fraction form
    6,298.04/8,682.20 = 4,170.01/x
  3. Step 3: Cross multiply
    6,298.04x = 8,682.20 × 4,170.01
  4. Step 4: Simplify right side
    6,298.04x = 36,204,796.56
  5. Step 5: Solve for x
    x = 36,204,796.56/6,298.04
  6. Step 6: Final answer
    x = 5,748.58

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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.