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Finding the Fourth Proportional to 5,297.68, 7,946.52 and 1,402.39

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Solution

The fourth proportional to 5,297.68, 7,946.52 and 1,402.39 is: 2,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.68 : 7,946.52 = 1,402.39 : x
  2. Step 2: Convert to fraction form
    5,297.68/7,946.52 = 1,402.39/x
  3. Step 3: Cross multiply
    5,297.68x = 7,946.52 × 1,402.39
  4. Step 4: Simplify right side
    5,297.68x = 11,144,120.18
  5. Step 5: Solve for x
    x = 11,144,120.18/5,297.68
  6. Step 6: Final answer
    x = 2,103.59

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Similar ratio
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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.