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Finding the Fourth Proportional to 4,168.43, 5,740.76 and 4,077.71

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Solution

The fourth proportional to 4,168.43, 5,740.76 and 4,077.71 is: 5,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.43 : 5,740.76 = 4,077.71 : x
  2. Step 2: Convert to fraction form
    4,168.43/5,740.76 = 4,077.71/x
  3. Step 3: Cross multiply
    4,168.43x = 5,740.76 × 4,077.71
  4. Step 4: Simplify right side
    4,168.43x = 23,409,154.46
  5. Step 5: Solve for x
    x = 23,409,154.46/4,168.43
  6. Step 6: Final answer
    x = 5,615.82

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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.