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Finding the Fourth Proportional to 5,466.38, 7,542.38 and 3,228.35

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Solution

The fourth proportional to 5,466.38, 7,542.38 and 3,228.35 is: 4,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.38 : 7,542.38 = 3,228.35 : x
  2. Step 2: Convert to fraction form
    5,466.38/7,542.38 = 3,228.35/x
  3. Step 3: Cross multiply
    5,466.38x = 7,542.38 × 3,228.35
  4. Step 4: Simplify right side
    5,466.38x = 24,349,412.83
  5. Step 5: Solve for x
    x = 24,349,412.83/5,466.38
  6. Step 6: Final answer
    x = 4,454.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.