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Finding the Fourth Proportional to 4,831.86, 7,247.70 and 1,544.96

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Solution

The fourth proportional to 4,831.86, 7,247.70 and 1,544.96 is: 2,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.86 : 7,247.70 = 1,544.96 : x
  2. Step 2: Convert to fraction form
    4,831.86/7,247.70 = 1,544.96/x
  3. Step 3: Cross multiply
    4,831.86x = 7,247.70 × 1,544.96
  4. Step 4: Simplify right side
    4,831.86x = 11,197,370.35
  5. Step 5: Solve for x
    x = 11,197,370.35/4,831.86
  6. Step 6: Final answer
    x = 2,317.40

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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.