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Finding the Fourth Proportional to 4,229.74, 5,837.00 and 2,341.32

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Solution

The fourth proportional to 4,229.74, 5,837.00 and 2,341.32 is: 3,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.74 : 5,837.00 = 2,341.32 : x
  2. Step 2: Convert to fraction form
    4,229.74/5,837.00 = 2,341.32/x
  3. Step 3: Cross multiply
    4,229.74x = 5,837.00 × 2,341.32
  4. Step 4: Simplify right side
    4,229.74x = 13,666,273.13
  5. Step 5: Solve for x
    x = 13,666,273.13/4,229.74
  6. Step 6: Final answer
    x = 3,231.00

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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.