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Finding the Fourth Proportional to 6,070.32, 8,373.87 and 3,831.39

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Solution

The fourth proportional to 6,070.32, 8,373.87 and 3,831.39 is: 5,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.32 : 8,373.87 = 3,831.39 : x
  2. Step 2: Convert to fraction form
    6,070.32/8,373.87 = 3,831.39/x
  3. Step 3: Cross multiply
    6,070.32x = 8,373.87 × 3,831.39
  4. Step 4: Simplify right side
    6,070.32x = 32,083,561.78
  5. Step 5: Solve for x
    x = 32,083,561.78/6,070.32
  6. Step 6: Final answer
    x = 5,285.32

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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.