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Finding the Fourth Proportional to 5,099.46, 7,642.71 and 2,327.64

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Solution

The fourth proportional to 5,099.46, 7,642.71 and 2,327.64 is: 3,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.46 : 7,642.71 = 2,327.64 : x
  2. Step 2: Convert to fraction form
    5,099.46/7,642.71 = 2,327.64/x
  3. Step 3: Cross multiply
    5,099.46x = 7,642.71 × 2,327.64
  4. Step 4: Simplify right side
    5,099.46x = 17,789,477.50
  5. Step 5: Solve for x
    x = 17,789,477.50/5,099.46
  6. Step 6: Final answer
    x = 3,488.50

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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.