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Finding the Fourth Proportional to 3,663.10, 5,054.71 and 2,047.71

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Solution

The fourth proportional to 3,663.10, 5,054.71 and 2,047.71 is: 2,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.10 : 5,054.71 = 2,047.71 : x
  2. Step 2: Convert to fraction form
    3,663.10/5,054.71 = 2,047.71/x
  3. Step 3: Cross multiply
    3,663.10x = 5,054.71 × 2,047.71
  4. Step 4: Simplify right side
    3,663.10x = 10,350,580.21
  5. Step 5: Solve for x
    x = 10,350,580.21/3,663.10
  6. Step 6: Final answer
    x = 2,825.63

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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.