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Finding the Fourth Proportional to 4,534.52, 6,801.50 and 1,414.08

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Solution

The fourth proportional to 4,534.52, 6,801.50 and 1,414.08 is: 2,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.52 : 6,801.50 = 1,414.08 : x
  2. Step 2: Convert to fraction form
    4,534.52/6,801.50 = 1,414.08/x
  3. Step 3: Cross multiply
    4,534.52x = 6,801.50 × 1,414.08
  4. Step 4: Simplify right side
    4,534.52x = 9,617,858.05
  5. Step 5: Solve for x
    x = 9,617,858.05/4,534.52
  6. Step 6: Final answer
    x = 2,121.03

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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.