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Finding the Fourth Proportional to 4,610.78, 6,899.72 and 3,692.24

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Solution

The fourth proportional to 4,610.78, 6,899.72 and 3,692.24 is: 5,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.78 : 6,899.72 = 3,692.24 : x
  2. Step 2: Convert to fraction form
    4,610.78/6,899.72 = 3,692.24/x
  3. Step 3: Cross multiply
    4,610.78x = 6,899.72 × 3,692.24
  4. Step 4: Simplify right side
    4,610.78x = 25,475,422.17
  5. Step 5: Solve for x
    x = 25,475,422.17/4,610.78
  6. Step 6: Final answer
    x = 5,525.19

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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.