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Finding the Fourth Proportional to 5,831.76, 8,047.98 and 3,441.86

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Solution

The fourth proportional to 5,831.76, 8,047.98 and 3,441.86 is: 4,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.76 : 8,047.98 = 3,441.86 : x
  2. Step 2: Convert to fraction form
    5,831.76/8,047.98 = 3,441.86/x
  3. Step 3: Cross multiply
    5,831.76x = 8,047.98 × 3,441.86
  4. Step 4: Simplify right side
    5,831.76x = 27,700,020.44
  5. Step 5: Solve for x
    x = 27,700,020.44/5,831.76
  6. Step 6: Final answer
    x = 4,749.86

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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.