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Finding the Fourth Proportional to 5,993.01, 8,986.08 and 1,831.86

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Solution

The fourth proportional to 5,993.01, 8,986.08 and 1,831.86 is: 2,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.01 : 8,986.08 = 1,831.86 : x
  2. Step 2: Convert to fraction form
    5,993.01/8,986.08 = 1,831.86/x
  3. Step 3: Cross multiply
    5,993.01x = 8,986.08 × 1,831.86
  4. Step 4: Simplify right side
    5,993.01x = 16,461,240.51
  5. Step 5: Solve for x
    x = 16,461,240.51/5,993.01
  6. Step 6: Final answer
    x = 2,746.74

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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.