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Finding the Fourth Proportional to 5,150.76, 7,719.99 and 2,374.64

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Solution

The fourth proportional to 5,150.76, 7,719.99 and 2,374.64 is: 3,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.76 : 7,719.99 = 2,374.64 : x
  2. Step 2: Convert to fraction form
    5,150.76/7,719.99 = 2,374.64/x
  3. Step 3: Cross multiply
    5,150.76x = 7,719.99 × 2,374.64
  4. Step 4: Simplify right side
    5,150.76x = 18,332,158.45
  5. Step 5: Solve for x
    x = 18,332,158.45/5,150.76
  6. Step 6: Final answer
    x = 3,559.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.