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Finding the Fourth Proportional to 4,155.62, 5,740.22 and 3,081.07

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Solution

The fourth proportional to 4,155.62, 5,740.22 and 3,081.07 is: 4,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.62 : 5,740.22 = 3,081.07 : x
  2. Step 2: Convert to fraction form
    4,155.62/5,740.22 = 3,081.07/x
  3. Step 3: Cross multiply
    4,155.62x = 5,740.22 × 3,081.07
  4. Step 4: Simplify right side
    4,155.62x = 17,685,984.89
  5. Step 5: Solve for x
    x = 17,685,984.89/4,155.62
  6. Step 6: Final answer
    x = 4,255.92

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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.