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Finding the Fourth Proportional to 5,233.14, 7,829.28 and 4,054.14

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Solution

The fourth proportional to 5,233.14, 7,829.28 and 4,054.14 is: 6,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.14 : 7,829.28 = 4,054.14 : x
  2. Step 2: Convert to fraction form
    5,233.14/7,829.28 = 4,054.14/x
  3. Step 3: Cross multiply
    5,233.14x = 7,829.28 × 4,054.14
  4. Step 4: Simplify right side
    5,233.14x = 31,740,997.22
  5. Step 5: Solve for x
    x = 31,740,997.22/5,233.14
  6. Step 6: Final answer
    x = 6,065.38

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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.