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Finding the Fourth Proportional to 6,117.36, 8,442 and 3,322.86

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Solution

The fourth proportional to 6,117.36, 8,442 and 3,322.86 is: 4,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.36 : 8,442 = 3,322.86 : x
  2. Step 2: Convert to fraction form
    6,117.36/8,442 = 3,322.86/x
  3. Step 3: Cross multiply
    6,117.36x = 8,442 × 3,322.86
  4. Step 4: Simplify right side
    6,117.36x = 28,051,584.12
  5. Step 5: Solve for x
    x = 28,051,584.12/6,117.36
  6. Step 6: Final answer
    x = 4,585.57

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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.