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Finding the Fourth Proportional to 5,192.65, 7,788.16 and 2,270.17

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Solution

The fourth proportional to 5,192.65, 7,788.16 and 2,270.17 is: 3,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.65 : 7,788.16 = 2,270.17 : x
  2. Step 2: Convert to fraction form
    5,192.65/7,788.16 = 2,270.17/x
  3. Step 3: Cross multiply
    5,192.65x = 7,788.16 × 2,270.17
  4. Step 4: Simplify right side
    5,192.65x = 17,680,447.19
  5. Step 5: Solve for x
    x = 17,680,447.19/5,192.65
  6. Step 6: Final answer
    x = 3,404.90

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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.