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Finding the Fourth Proportional to 3,643.32, 5,463.77 and 1,177.48

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Solution

The fourth proportional to 3,643.32, 5,463.77 and 1,177.48 is: 1,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.32 : 5,463.77 = 1,177.48 : x
  2. Step 2: Convert to fraction form
    3,643.32/5,463.77 = 1,177.48/x
  3. Step 3: Cross multiply
    3,643.32x = 5,463.77 × 1,177.48
  4. Step 4: Simplify right side
    3,643.32x = 6,433,460.35
  5. Step 5: Solve for x
    x = 6,433,460.35/3,643.32
  6. Step 6: Final answer
    x = 1,765.82

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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.