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Finding the Fourth Proportional to 5,684.68, 8,522.92 and 3,831.20

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Solution

The fourth proportional to 5,684.68, 8,522.92 and 3,831.20 is: 5,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.68 : 8,522.92 = 3,831.20 : x
  2. Step 2: Convert to fraction form
    5,684.68/8,522.92 = 3,831.20/x
  3. Step 3: Cross multiply
    5,684.68x = 8,522.92 × 3,831.20
  4. Step 4: Simplify right side
    5,684.68x = 32,653,005.24
  5. Step 5: Solve for x
    x = 32,653,005.24/5,684.68
  6. Step 6: Final answer
    x = 5,744.03

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1.5x scale

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.