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Finding the Fourth Proportional to 5,297.38, 7,946.13 and 1,599.64

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Solution

The fourth proportional to 5,297.38, 7,946.13 and 1,599.64 is: 2,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.38 : 7,946.13 = 1,599.64 : x
  2. Step 2: Convert to fraction form
    5,297.38/7,946.13 = 1,599.64/x
  3. Step 3: Cross multiply
    5,297.38x = 7,946.13 × 1,599.64
  4. Step 4: Simplify right side
    5,297.38x = 12,710,947.39
  5. Step 5: Solve for x
    x = 12,710,947.39/5,297.38
  6. Step 6: Final answer
    x = 2,399.48

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Similar ratio
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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.