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Finding the Fourth Proportional to 5,164.78, 7,747.14 and 1,702

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Solution

The fourth proportional to 5,164.78, 7,747.14 and 1,702 is: 2,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.78 : 7,747.14 = 1,702 : x
  2. Step 2: Convert to fraction form
    5,164.78/7,747.14 = 1,702/x
  3. Step 3: Cross multiply
    5,164.78x = 7,747.14 × 1,702
  4. Step 4: Simplify right side
    5,164.78x = 13,185,632.28
  5. Step 5: Solve for x
    x = 13,185,632.28/5,164.78
  6. Step 6: Final answer
    x = 2,552.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.