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Finding the Fourth Proportional to 5,831.68, 8,782.39 and 5,109.97

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Solution

The fourth proportional to 5,831.68, 8,782.39 and 5,109.97 is: 7,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.68 : 8,782.39 = 5,109.97 : x
  2. Step 2: Convert to fraction form
    5,831.68/8,782.39 = 5,109.97/x
  3. Step 3: Cross multiply
    5,831.68x = 8,782.39 × 5,109.97
  4. Step 4: Simplify right side
    5,831.68x = 44,877,749.43
  5. Step 5: Solve for x
    x = 44,877,749.43/5,831.68
  6. Step 6: Final answer
    x = 7,695.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.