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Finding the Fourth Proportional to 5,884.77, 8,121 and 3,232.23

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Solution

The fourth proportional to 5,884.77, 8,121 and 3,232.23 is: 4,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.77 : 8,121 = 3,232.23 : x
  2. Step 2: Convert to fraction form
    5,884.77/8,121 = 3,232.23/x
  3. Step 3: Cross multiply
    5,884.77x = 8,121 × 3,232.23
  4. Step 4: Simplify right side
    5,884.77x = 26,248,939.83
  5. Step 5: Solve for x
    x = 26,248,939.83/5,884.77
  6. Step 6: Final answer
    x = 4,460.49

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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.