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Finding the Fourth Proportional to 5,297.68, 7,946.70 and 1,402.48

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Solution

The fourth proportional to 5,297.68, 7,946.70 and 1,402.48 is: 2,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.68 : 7,946.70 = 1,402.48 : x
  2. Step 2: Convert to fraction form
    5,297.68/7,946.70 = 1,402.48/x
  3. Step 3: Cross multiply
    5,297.68x = 7,946.70 × 1,402.48
  4. Step 4: Simplify right side
    5,297.68x = 11,145,087.82
  5. Step 5: Solve for x
    x = 11,145,087.82/5,297.68
  6. Step 6: Final answer
    x = 2,103.77

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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.