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Finding the Fourth Proportional to 3,663.47, 5,485.85 and 2,018.21

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Solution

The fourth proportional to 3,663.47, 5,485.85 and 2,018.21 is: 3,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.47 : 5,485.85 = 2,018.21 : x
  2. Step 2: Convert to fraction form
    3,663.47/5,485.85 = 2,018.21/x
  3. Step 3: Cross multiply
    3,663.47x = 5,485.85 × 2,018.21
  4. Step 4: Simplify right side
    3,663.47x = 11,071,559.81
  5. Step 5: Solve for x
    x = 11,071,559.81/3,663.47
  6. Step 6: Final answer
    x = 3,022.16

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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.