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Finding the Fourth Proportional to 6,430.92, 8,877.22 and 4,194.72

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Solution

The fourth proportional to 6,430.92, 8,877.22 and 4,194.72 is: 5,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.92 : 8,877.22 = 4,194.72 : x
  2. Step 2: Convert to fraction form
    6,430.92/8,877.22 = 4,194.72/x
  3. Step 3: Cross multiply
    6,430.92x = 8,877.22 × 4,194.72
  4. Step 4: Simplify right side
    6,430.92x = 37,237,452.28
  5. Step 5: Solve for x
    x = 37,237,452.28/6,430.92
  6. Step 6: Final answer
    x = 5,790.38

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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.