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Finding the Fourth Proportional to 2,923.62, 4,037.22 and 2,719.50

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Solution

The fourth proportional to 2,923.62, 4,037.22 and 2,719.50 is: 3,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.62 : 4,037.22 = 2,719.50 : x
  2. Step 2: Convert to fraction form
    2,923.62/4,037.22 = 2,719.50/x
  3. Step 3: Cross multiply
    2,923.62x = 4,037.22 × 2,719.50
  4. Step 4: Simplify right side
    2,923.62x = 10,979,219.79
  5. Step 5: Solve for x
    x = 10,979,219.79/2,923.62
  6. Step 6: Final answer
    x = 3,755.35

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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.