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Finding the Fourth Proportional to 5,113.60, 7,665.90 and 2,479.78

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Solution

The fourth proportional to 5,113.60, 7,665.90 and 2,479.78 is: 3,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.60 : 7,665.90 = 2,479.78 : x
  2. Step 2: Convert to fraction form
    5,113.60/7,665.90 = 2,479.78/x
  3. Step 3: Cross multiply
    5,113.60x = 7,665.90 × 2,479.78
  4. Step 4: Simplify right side
    5,113.60x = 19,009,745.50
  5. Step 5: Solve for x
    x = 19,009,745.50/5,113.60
  6. Step 6: Final answer
    x = 3,717.49

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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.