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Finding the Fourth Proportional to 5,152.04, 7,109.62 and 2,794.13

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Solution

The fourth proportional to 5,152.04, 7,109.62 and 2,794.13 is: 3,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.04 : 7,109.62 = 2,794.13 : x
  2. Step 2: Convert to fraction form
    5,152.04/7,109.62 = 2,794.13/x
  3. Step 3: Cross multiply
    5,152.04x = 7,109.62 × 2,794.13
  4. Step 4: Simplify right side
    5,152.04x = 19,865,202.38
  5. Step 5: Solve for x
    x = 19,865,202.38/5,152.04
  6. Step 6: Final answer
    x = 3,855.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.