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Finding the Fourth Proportional to 3,670.21, 5,502.87 and 1,204.18

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Solution

The fourth proportional to 3,670.21, 5,502.87 and 1,204.18 is: 1,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.21 : 5,502.87 = 1,204.18 : x
  2. Step 2: Convert to fraction form
    3,670.21/5,502.87 = 1,204.18/x
  3. Step 3: Cross multiply
    3,670.21x = 5,502.87 × 1,204.18
  4. Step 4: Simplify right side
    3,670.21x = 6,626,446.00
  5. Step 5: Solve for x
    x = 6,626,446.00/3,670.21
  6. Step 6: Final answer
    x = 1,805.47

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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.