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Finding the Fourth Proportional to 4,154.87, 5,758.46 and 4,077.11

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Solution

The fourth proportional to 4,154.87, 5,758.46 and 4,077.11 is: 5,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.87 : 5,758.46 = 4,077.11 : x
  2. Step 2: Convert to fraction form
    4,154.87/5,758.46 = 4,077.11/x
  3. Step 3: Cross multiply
    4,154.87x = 5,758.46 × 4,077.11
  4. Step 4: Simplify right side
    4,154.87x = 23,477,856.25
  5. Step 5: Solve for x
    x = 23,477,856.25/4,154.87
  6. Step 6: Final answer
    x = 5,650.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.