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Finding the Fourth Proportional to 3,649.60, 5,474.76 and 1,700.74

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Solution

The fourth proportional to 3,649.60, 5,474.76 and 1,700.74 is: 2,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.60 : 5,474.76 = 1,700.74 : x
  2. Step 2: Convert to fraction form
    3,649.60/5,474.76 = 1,700.74/x
  3. Step 3: Cross multiply
    3,649.60x = 5,474.76 × 1,700.74
  4. Step 4: Simplify right side
    3,649.60x = 9,311,143.32
  5. Step 5: Solve for x
    x = 9,311,143.32/3,649.60
  6. Step 6: Final answer
    x = 2,551.28

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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.