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Finding the Fourth Proportional to 4,934.44, 7,403.10 and 2,881

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Solution

The fourth proportional to 4,934.44, 7,403.10 and 2,881 is: 4,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.44 : 7,403.10 = 2,881 : x
  2. Step 2: Convert to fraction form
    4,934.44/7,403.10 = 2,881/x
  3. Step 3: Cross multiply
    4,934.44x = 7,403.10 × 2,881
  4. Step 4: Simplify right side
    4,934.44x = 21,328,331.10
  5. Step 5: Solve for x
    x = 21,328,331.10/4,934.44
  6. Step 6: Final answer
    x = 4,322.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.