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Finding the Fourth Proportional to 5,831.25, 8,047.22 and 3,178.67

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Solution

The fourth proportional to 5,831.25, 8,047.22 and 3,178.67 is: 4,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.25 : 8,047.22 = 3,178.67 : x
  2. Step 2: Convert to fraction form
    5,831.25/8,047.22 = 3,178.67/x
  3. Step 3: Cross multiply
    5,831.25x = 8,047.22 × 3,178.67
  4. Step 4: Simplify right side
    5,831.25x = 25,579,400.67
  5. Step 5: Solve for x
    x = 25,579,400.67/5,831.25
  6. Step 6: Final answer
    x = 4,386.60

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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.