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Finding the Fourth Proportional to 3,499.56, 4,807.78 and 3,131.42

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Solution

The fourth proportional to 3,499.56, 4,807.78 and 3,131.42 is: 4,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.56 : 4,807.78 = 3,131.42 : x
  2. Step 2: Convert to fraction form
    3,499.56/4,807.78 = 3,131.42/x
  3. Step 3: Cross multiply
    3,499.56x = 4,807.78 × 3,131.42
  4. Step 4: Simplify right side
    3,499.56x = 15,055,178.45
  5. Step 5: Solve for x
    x = 15,055,178.45/3,499.56
  6. Step 6: Final answer
    x = 4,302.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.