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Finding the Fourth Proportional to 5,924.42, 8,894.40 and 3,962.66

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Solution

The fourth proportional to 5,924.42, 8,894.40 and 3,962.66 is: 5,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.42 : 8,894.40 = 3,962.66 : x
  2. Step 2: Convert to fraction form
    5,924.42/8,894.40 = 3,962.66/x
  3. Step 3: Cross multiply
    5,924.42x = 8,894.40 × 3,962.66
  4. Step 4: Simplify right side
    5,924.42x = 35,245,483.10
  5. Step 5: Solve for x
    x = 35,245,483.10/5,924.42
  6. Step 6: Final answer
    x = 5,949.19

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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.