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Finding the Fourth Proportional to 5,741.55, 7,924.41 and 3,505.41

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Solution

The fourth proportional to 5,741.55, 7,924.41 and 3,505.41 is: 4,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.55 : 7,924.41 = 3,505.41 : x
  2. Step 2: Convert to fraction form
    5,741.55/7,924.41 = 3,505.41/x
  3. Step 3: Cross multiply
    5,741.55x = 7,924.41 × 3,505.41
  4. Step 4: Simplify right side
    5,741.55x = 27,778,306.06
  5. Step 5: Solve for x
    x = 27,778,306.06/5,741.55
  6. Step 6: Final answer
    x = 4,838.12

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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.