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Finding the Fourth Proportional to 6,398.04, 9,588.36 and 3,104.56

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Solution

The fourth proportional to 6,398.04, 9,588.36 and 3,104.56 is: 4,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.04 : 9,588.36 = 3,104.56 : x
  2. Step 2: Convert to fraction form
    6,398.04/9,588.36 = 3,104.56/x
  3. Step 3: Cross multiply
    6,398.04x = 9,588.36 × 3,104.56
  4. Step 4: Simplify right side
    6,398.04x = 29,767,638.92
  5. Step 5: Solve for x
    x = 29,767,638.92/6,398.04
  6. Step 6: Final answer
    x = 4,652.62

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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.