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Finding the Fourth Proportional to 4,424.06, 6,105.06 and 2,434.50

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Solution

The fourth proportional to 4,424.06, 6,105.06 and 2,434.50 is: 3,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.06 : 6,105.06 = 2,434.50 : x
  2. Step 2: Convert to fraction form
    4,424.06/6,105.06 = 2,434.50/x
  3. Step 3: Cross multiply
    4,424.06x = 6,105.06 × 2,434.50
  4. Step 4: Simplify right side
    4,424.06x = 14,862,768.57
  5. Step 5: Solve for x
    x = 14,862,768.57/4,424.06
  6. Step 6: Final answer
    x = 3,359.53

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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.