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Finding the Fourth Proportional to 6,400.26, 8,830.35 and 4,305.60

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Solution

The fourth proportional to 6,400.26, 8,830.35 and 4,305.60 is: 5,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.26 : 8,830.35 = 4,305.60 : x
  2. Step 2: Convert to fraction form
    6,400.26/8,830.35 = 4,305.60/x
  3. Step 3: Cross multiply
    6,400.26x = 8,830.35 × 4,305.60
  4. Step 4: Simplify right side
    6,400.26x = 38,019,954.96
  5. Step 5: Solve for x
    x = 38,019,954.96/6,400.26
  6. Step 6: Final answer
    x = 5,940.38

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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.