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Finding the Fourth Proportional to 5,841.16, 8,762.97 and 1,892.62

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Solution

The fourth proportional to 5,841.16, 8,762.97 and 1,892.62 is: 2,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.16 : 8,762.97 = 1,892.62 : x
  2. Step 2: Convert to fraction form
    5,841.16/8,762.97 = 1,892.62/x
  3. Step 3: Cross multiply
    5,841.16x = 8,762.97 × 1,892.62
  4. Step 4: Simplify right side
    5,841.16x = 16,584,972.28
  5. Step 5: Solve for x
    x = 16,584,972.28/5,841.16
  6. Step 6: Final answer
    x = 2,839.33

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1.5x scale

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.