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Finding the Fourth Proportional to 3,103.74, 4,287.87 and 2,316.42

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Solution

The fourth proportional to 3,103.74, 4,287.87 and 2,316.42 is: 3,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.74 : 4,287.87 = 2,316.42 : x
  2. Step 2: Convert to fraction form
    3,103.74/4,287.87 = 2,316.42/x
  3. Step 3: Cross multiply
    3,103.74x = 4,287.87 × 2,316.42
  4. Step 4: Simplify right side
    3,103.74x = 9,932,507.83
  5. Step 5: Solve for x
    x = 9,932,507.83/3,103.74
  6. Step 6: Final answer
    x = 3,200.17

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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.