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Finding the Fourth Proportional to 3,663, 5,055.77 and 2,602.31

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Solution

The fourth proportional to 3,663, 5,055.77 and 2,602.31 is: 3,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663 : 5,055.77 = 2,602.31 : x
  2. Step 2: Convert to fraction form
    3,663/5,055.77 = 2,602.31/x
  3. Step 3: Cross multiply
    3,663x = 5,055.77 × 2,602.31
  4. Step 4: Simplify right side
    3,663x = 13,156,642.54
  5. Step 5: Solve for x
    x = 13,156,642.54/3,663
  6. Step 6: Final answer
    x = 3,591.77

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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.