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Finding the Fourth Proportional to 4,229.64, 5,837.16 and 2,341.24

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Solution

The fourth proportional to 4,229.64, 5,837.16 and 2,341.24 is: 3,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.64 : 5,837.16 = 2,341.24 : x
  2. Step 2: Convert to fraction form
    4,229.64/5,837.16 = 2,341.24/x
  3. Step 3: Cross multiply
    4,229.64x = 5,837.16 × 2,341.24
  4. Step 4: Simplify right side
    4,229.64x = 13,666,192.48
  5. Step 5: Solve for x
    x = 13,666,192.48/4,229.64
  6. Step 6: Final answer
    x = 3,231.05

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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.