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Finding the Fourth Proportional to 4,494.96, 6,193.80 and 4,434.48

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Solution

The fourth proportional to 4,494.96, 6,193.80 and 4,434.48 is: 6,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.96 : 6,193.80 = 4,434.48 : x
  2. Step 2: Convert to fraction form
    4,494.96/6,193.80 = 4,434.48/x
  3. Step 3: Cross multiply
    4,494.96x = 6,193.80 × 4,434.48
  4. Step 4: Simplify right side
    4,494.96x = 27,466,282.22
  5. Step 5: Solve for x
    x = 27,466,282.22/4,494.96
  6. Step 6: Final answer
    x = 6,110.46

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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.