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Finding the Fourth Proportional to 4,204.77, 5,800.57 and 2,711.94

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Solution

The fourth proportional to 4,204.77, 5,800.57 and 2,711.94 is: 3,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.77 : 5,800.57 = 2,711.94 : x
  2. Step 2: Convert to fraction form
    4,204.77/5,800.57 = 2,711.94/x
  3. Step 3: Cross multiply
    4,204.77x = 5,800.57 × 2,711.94
  4. Step 4: Simplify right side
    4,204.77x = 15,730,797.81
  5. Step 5: Solve for x
    x = 15,730,797.81/4,204.77
  6. Step 6: Final answer
    x = 3,741.18

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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.