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Finding the Fourth Proportional to 5,668.62, 7,792.44 and 5,064.78

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Solution

The fourth proportional to 5,668.62, 7,792.44 and 5,064.78 is: 6,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.62 : 7,792.44 = 5,064.78 : x
  2. Step 2: Convert to fraction form
    5,668.62/7,792.44 = 5,064.78/x
  3. Step 3: Cross multiply
    5,668.62x = 7,792.44 × 5,064.78
  4. Step 4: Simplify right side
    5,668.62x = 39,466,994.26
  5. Step 5: Solve for x
    x = 39,466,994.26/5,668.62
  6. Step 6: Final answer
    x = 6,962.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.