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Finding the Fourth Proportional to 5,744.40, 7,932.20 and 5,558.64

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Solution

The fourth proportional to 5,744.40, 7,932.20 and 5,558.64 is: 7,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.40 : 7,932.20 = 5,558.64 : x
  2. Step 2: Convert to fraction form
    5,744.40/7,932.20 = 5,558.64/x
  3. Step 3: Cross multiply
    5,744.40x = 7,932.20 × 5,558.64
  4. Step 4: Simplify right side
    5,744.40x = 44,092,244.21
  5. Step 5: Solve for x
    x = 44,092,244.21/5,744.40
  6. Step 6: Final answer
    x = 7,675.69

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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.