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Finding the Fourth Proportional to 4,003.60, 6,004.70 and 1,082.14

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Solution

The fourth proportional to 4,003.60, 6,004.70 and 1,082.14 is: 1,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.60 : 6,004.70 = 1,082.14 : x
  2. Step 2: Convert to fraction form
    4,003.60/6,004.70 = 1,082.14/x
  3. Step 3: Cross multiply
    4,003.60x = 6,004.70 × 1,082.14
  4. Step 4: Simplify right side
    4,003.60x = 6,497,926.06
  5. Step 5: Solve for x
    x = 6,497,926.06/4,003.60
  6. Step 6: Final answer
    x = 1,623.02

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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.