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Finding the Fourth Proportional to 5,649.60, 8,473.96 and 2,529.80

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Solution

The fourth proportional to 5,649.60, 8,473.96 and 2,529.80 is: 3,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.60 : 8,473.96 = 2,529.80 : x
  2. Step 2: Convert to fraction form
    5,649.60/8,473.96 = 2,529.80/x
  3. Step 3: Cross multiply
    5,649.60x = 8,473.96 × 2,529.80
  4. Step 4: Simplify right side
    5,649.60x = 21,437,424.01
  5. Step 5: Solve for x
    x = 21,437,424.01/5,649.60
  6. Step 6: Final answer
    x = 3,794.50

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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.