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Finding the Fourth Proportional to 5,728.32, 8,592.06 and 1,831.68

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Solution

The fourth proportional to 5,728.32, 8,592.06 and 1,831.68 is: 2,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.32 : 8,592.06 = 1,831.68 : x
  2. Step 2: Convert to fraction form
    5,728.32/8,592.06 = 1,831.68/x
  3. Step 3: Cross multiply
    5,728.32x = 8,592.06 × 1,831.68
  4. Step 4: Simplify right side
    5,728.32x = 15,737,904.46
  5. Step 5: Solve for x
    x = 15,737,904.46/5,728.32
  6. Step 6: Final answer
    x = 2,747.39

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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.