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Finding the Fourth Proportional to 5,076.60, 7,609.71 and 2,880.69

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Solution

The fourth proportional to 5,076.60, 7,609.71 and 2,880.69 is: 4,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.60 : 7,609.71 = 2,880.69 : x
  2. Step 2: Convert to fraction form
    5,076.60/7,609.71 = 2,880.69/x
  3. Step 3: Cross multiply
    5,076.60x = 7,609.71 × 2,880.69
  4. Step 4: Simplify right side
    5,076.60x = 21,921,215.50
  5. Step 5: Solve for x
    x = 21,921,215.50/5,076.60
  6. Step 6: Final answer
    x = 4,318.09

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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.