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Finding the Fourth Proportional to 5,831.63, 8,049.74 and 3,473.72

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Solution

The fourth proportional to 5,831.63, 8,049.74 and 3,473.72 is: 4,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.63 : 8,049.74 = 3,473.72 : x
  2. Step 2: Convert to fraction form
    5,831.63/8,049.74 = 3,473.72/x
  3. Step 3: Cross multiply
    5,831.63x = 8,049.74 × 3,473.72
  4. Step 4: Simplify right side
    5,831.63x = 27,962,542.83
  5. Step 5: Solve for x
    x = 27,962,542.83/5,831.63
  6. Step 6: Final answer
    x = 4,794.98

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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.