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Finding the Fourth Proportional to 3,742.99, 5,614.54 and 1,794.74

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Solution

The fourth proportional to 3,742.99, 5,614.54 and 1,794.74 is: 2,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.99 : 5,614.54 = 1,794.74 : x
  2. Step 2: Convert to fraction form
    3,742.99/5,614.54 = 1,794.74/x
  3. Step 3: Cross multiply
    3,742.99x = 5,614.54 × 1,794.74
  4. Step 4: Simplify right side
    3,742.99x = 10,076,639.52
  5. Step 5: Solve for x
    x = 10,076,639.52/3,742.99
  6. Step 6: Final answer
    x = 2,692.14

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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.