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Finding the Fourth Proportional to 3,742.98, 5,614 and 969.42

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Solution

The fourth proportional to 3,742.98, 5,614 and 969.42 is: 1,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.98 : 5,614 = 969.42 : x
  2. Step 2: Convert to fraction form
    3,742.98/5,614 = 969.42/x
  3. Step 3: Cross multiply
    3,742.98x = 5,614 × 969.42
  4. Step 4: Simplify right side
    3,742.98x = 5,442,323.88
  5. Step 5: Solve for x
    x = 5,442,323.88/3,742.98
  6. Step 6: Final answer
    x = 1,454.01

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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.