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Finding the Fourth Proportional to 4,978.87, 7,468.58 and 2,510.80

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Solution

The fourth proportional to 4,978.87, 7,468.58 and 2,510.80 is: 3,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.87 : 7,468.58 = 2,510.80 : x
  2. Step 2: Convert to fraction form
    4,978.87/7,468.58 = 2,510.80/x
  3. Step 3: Cross multiply
    4,978.87x = 7,468.58 × 2,510.80
  4. Step 4: Simplify right side
    4,978.87x = 18,752,110.66
  5. Step 5: Solve for x
    x = 18,752,110.66/4,978.87
  6. Step 6: Final answer
    x = 3,766.34

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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.