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Finding the Fourth Proportional to 3,488.67, 4,814.63 and 1,997.06

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Solution

The fourth proportional to 3,488.67, 4,814.63 and 1,997.06 is: 2,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.67 : 4,814.63 = 1,997.06 : x
  2. Step 2: Convert to fraction form
    3,488.67/4,814.63 = 1,997.06/x
  3. Step 3: Cross multiply
    3,488.67x = 4,814.63 × 1,997.06
  4. Step 4: Simplify right side
    3,488.67x = 9,615,085.91
  5. Step 5: Solve for x
    x = 9,615,085.91/3,488.67
  6. Step 6: Final answer
    x = 2,756.09

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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.