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Finding the Fourth Proportional to 5,831.76, 8,047.98 and 3,179.22

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Solution

The fourth proportional to 5,831.76, 8,047.98 and 3,179.22 is: 4,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.76 : 8,047.98 = 3,179.22 : x
  2. Step 2: Convert to fraction form
    5,831.76/8,047.98 = 3,179.22/x
  3. Step 3: Cross multiply
    5,831.76x = 8,047.98 × 3,179.22
  4. Step 4: Simplify right side
    5,831.76x = 25,586,298.98
  5. Step 5: Solve for x
    x = 25,586,298.98/5,831.76
  6. Step 6: Final answer
    x = 4,387.41

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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.