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Finding the Fourth Proportional to 3,914.59, 5,398.99 and 3,441.48

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Solution

The fourth proportional to 3,914.59, 5,398.99 and 3,441.48 is: 4,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.59 : 5,398.99 = 3,441.48 : x
  2. Step 2: Convert to fraction form
    3,914.59/5,398.99 = 3,441.48/x
  3. Step 3: Cross multiply
    3,914.59x = 5,398.99 × 3,441.48
  4. Step 4: Simplify right side
    3,914.59x = 18,580,503.83
  5. Step 5: Solve for x
    x = 18,580,503.83/3,914.59
  6. Step 6: Final answer
    x = 4,746.48

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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.