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Finding the Fourth Proportional to 3,335.42, 4,999.65 and 1,143.38

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Solution

The fourth proportional to 3,335.42, 4,999.65 and 1,143.38 is: 1,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.42 : 4,999.65 = 1,143.38 : x
  2. Step 2: Convert to fraction form
    3,335.42/4,999.65 = 1,143.38/x
  3. Step 3: Cross multiply
    3,335.42x = 4,999.65 × 1,143.38
  4. Step 4: Simplify right side
    3,335.42x = 5,716,499.82
  5. Step 5: Solve for x
    x = 5,716,499.82/3,335.42
  6. Step 6: Final answer
    x = 1,713.88

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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.