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Finding the Fourth Proportional to 3,649.94, 5,474.98 and 1,184.75

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Solution

The fourth proportional to 3,649.94, 5,474.98 and 1,184.75 is: 1,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.94 : 5,474.98 = 1,184.75 : x
  2. Step 2: Convert to fraction form
    3,649.94/5,474.98 = 1,184.75/x
  3. Step 3: Cross multiply
    3,649.94x = 5,474.98 × 1,184.75
  4. Step 4: Simplify right side
    3,649.94x = 6,486,455.18
  5. Step 5: Solve for x
    x = 6,486,455.18/3,649.94
  6. Step 6: Final answer
    x = 1,777.14

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1.5x scale

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.