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Finding the Fourth Proportional to 5,658.40, 7,792.11 and 5,297.39

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Solution

The fourth proportional to 5,658.40, 7,792.11 and 5,297.39 is: 7,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.40 : 7,792.11 = 5,297.39 : x
  2. Step 2: Convert to fraction form
    5,658.40/7,792.11 = 5,297.39/x
  3. Step 3: Cross multiply
    5,658.40x = 7,792.11 × 5,297.39
  4. Step 4: Simplify right side
    5,658.40x = 41,277,845.59
  5. Step 5: Solve for x
    x = 41,277,845.59/5,658.40
  6. Step 6: Final answer
    x = 7,294.97

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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.