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Finding the Fourth Proportional to 5,770.32, 7,954.50 and 4,508.64

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Solution

The fourth proportional to 5,770.32, 7,954.50 and 4,508.64 is: 6,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.32 : 7,954.50 = 4,508.64 : x
  2. Step 2: Convert to fraction form
    5,770.32/7,954.50 = 4,508.64/x
  3. Step 3: Cross multiply
    5,770.32x = 7,954.50 × 4,508.64
  4. Step 4: Simplify right side
    5,770.32x = 35,863,976.88
  5. Step 5: Solve for x
    x = 35,863,976.88/5,770.32
  6. Step 6: Final answer
    x = 6,215.25

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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.