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Finding the Fourth Proportional to 4,216.40, 5,789.14 and 3,424.40

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Solution

The fourth proportional to 4,216.40, 5,789.14 and 3,424.40 is: 4,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.40 : 5,789.14 = 3,424.40 : x
  2. Step 2: Convert to fraction form
    4,216.40/5,789.14 = 3,424.40/x
  3. Step 3: Cross multiply
    4,216.40x = 5,789.14 × 3,424.40
  4. Step 4: Simplify right side
    4,216.40x = 19,824,331.02
  5. Step 5: Solve for x
    x = 19,824,331.02/4,216.40
  6. Step 6: Final answer
    x = 4,701.72

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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.