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Finding the Fourth Proportional to 5,664.54, 7,808.31 and 4,614.78

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Solution

The fourth proportional to 5,664.54, 7,808.31 and 4,614.78 is: 6,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.54 : 7,808.31 = 4,614.78 : x
  2. Step 2: Convert to fraction form
    5,664.54/7,808.31 = 4,614.78/x
  3. Step 3: Cross multiply
    5,664.54x = 7,808.31 × 4,614.78
  4. Step 4: Simplify right side
    5,664.54x = 36,033,632.82
  5. Step 5: Solve for x
    x = 36,033,632.82/5,664.54
  6. Step 6: Final answer
    x = 6,361.26

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1.5x scale

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.