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Finding the Fourth Proportional to 5,064.96, 6,993.60 and 3,884.16

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Solution

The fourth proportional to 5,064.96, 6,993.60 and 3,884.16 is: 5,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.96 : 6,993.60 = 3,884.16 : x
  2. Step 2: Convert to fraction form
    5,064.96/6,993.60 = 3,884.16/x
  3. Step 3: Cross multiply
    5,064.96x = 6,993.60 × 3,884.16
  4. Step 4: Simplify right side
    5,064.96x = 27,164,261.38
  5. Step 5: Solve for x
    x = 27,164,261.38/5,064.96
  6. Step 6: Final answer
    x = 5,363.17

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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.