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Finding the Fourth Proportional to 5,831.82, 8,751.68 and 2,543.01

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Solution

The fourth proportional to 5,831.82, 8,751.68 and 2,543.01 is: 3,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.82 : 8,751.68 = 2,543.01 : x
  2. Step 2: Convert to fraction form
    5,831.82/8,751.68 = 2,543.01/x
  3. Step 3: Cross multiply
    5,831.82x = 8,751.68 × 2,543.01
  4. Step 4: Simplify right side
    5,831.82x = 22,255,597.04
  5. Step 5: Solve for x
    x = 22,255,597.04/5,831.82
  6. Step 6: Final answer
    x = 3,816.24

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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.