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Finding the Fourth Proportional to 5,270.93, 7,847.66 and 5,197.35

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Solution

The fourth proportional to 5,270.93, 7,847.66 and 5,197.35 is: 7,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.93 : 7,847.66 = 5,197.35 : x
  2. Step 2: Convert to fraction form
    5,270.93/7,847.66 = 5,197.35/x
  3. Step 3: Cross multiply
    5,270.93x = 7,847.66 × 5,197.35
  4. Step 4: Simplify right side
    5,270.93x = 40,787,009.71
  5. Step 5: Solve for x
    x = 40,787,009.71/5,270.93
  6. Step 6: Final answer
    x = 7,738.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.