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Finding the Fourth Proportional to 3,043.87, 4,566.03 and 852.52

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Solution

The fourth proportional to 3,043.87, 4,566.03 and 852.52 is: 1,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.87 : 4,566.03 = 852.52 : x
  2. Step 2: Convert to fraction form
    3,043.87/4,566.03 = 852.52/x
  3. Step 3: Cross multiply
    3,043.87x = 4,566.03 × 852.52
  4. Step 4: Simplify right side
    3,043.87x = 3,892,620.48
  5. Step 5: Solve for x
    x = 3,892,620.48/3,043.87
  6. Step 6: Final answer
    x = 1,278.84

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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.