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Finding the Fourth Proportional to 4,434.71, 6,114.22 and 3,635.09

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Solution

The fourth proportional to 4,434.71, 6,114.22 and 3,635.09 is: 5,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.71 : 6,114.22 = 3,635.09 : x
  2. Step 2: Convert to fraction form
    4,434.71/6,114.22 = 3,635.09/x
  3. Step 3: Cross multiply
    4,434.71x = 6,114.22 × 3,635.09
  4. Step 4: Simplify right side
    4,434.71x = 22,225,739.98
  5. Step 5: Solve for x
    x = 22,225,739.98/4,434.71
  6. Step 6: Final answer
    x = 5,011.77

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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.