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Finding the Fourth Proportional to 5,744.32, 7,922.30 and 4,852.44

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Solution

The fourth proportional to 5,744.32, 7,922.30 and 4,852.44 is: 6,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.32 : 7,922.30 = 4,852.44 : x
  2. Step 2: Convert to fraction form
    5,744.32/7,922.30 = 4,852.44/x
  3. Step 3: Cross multiply
    5,744.32x = 7,922.30 × 4,852.44
  4. Step 4: Simplify right side
    5,744.32x = 38,442,485.41
  5. Step 5: Solve for x
    x = 38,442,485.41/5,744.32
  6. Step 6: Final answer
    x = 6,692.26

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1.5x scale

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.