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Finding the Fourth Proportional to 5,665.54, 7,816.26 and 4,177

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Solution

The fourth proportional to 5,665.54, 7,816.26 and 4,177 is: 5,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.54 : 7,816.26 = 4,177 : x
  2. Step 2: Convert to fraction form
    5,665.54/7,816.26 = 4,177/x
  3. Step 3: Cross multiply
    5,665.54x = 7,816.26 × 4,177
  4. Step 4: Simplify right side
    5,665.54x = 32,648,518.02
  5. Step 5: Solve for x
    x = 32,648,518.02/5,665.54
  6. Step 6: Final answer
    x = 5,762.65

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