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Finding the Fourth Proportional to 3,489.78, 4,814.10 and 2,370.36

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Solution

The fourth proportional to 3,489.78, 4,814.10 and 2,370.36 is: 3,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.78 : 4,814.10 = 2,370.36 : x
  2. Step 2: Convert to fraction form
    3,489.78/4,814.10 = 2,370.36/x
  3. Step 3: Cross multiply
    3,489.78x = 4,814.10 × 2,370.36
  4. Step 4: Simplify right side
    3,489.78x = 11,411,150.08
  5. Step 5: Solve for x
    x = 11,411,150.08/3,489.78
  6. Step 6: Final answer
    x = 3,269.88

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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.