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Finding the Fourth Proportional to 5,192.58, 7,792.11 and 2,114.58

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Solution

The fourth proportional to 5,192.58, 7,792.11 and 2,114.58 is: 3,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.58 : 7,792.11 = 2,114.58 : x
  2. Step 2: Convert to fraction form
    5,192.58/7,792.11 = 2,114.58/x
  3. Step 3: Cross multiply
    5,192.58x = 7,792.11 × 2,114.58
  4. Step 4: Simplify right side
    5,192.58x = 16,477,019.41
  5. Step 5: Solve for x
    x = 16,477,019.41/5,192.58
  6. Step 6: Final answer
    x = 3,173.19

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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.