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Finding the Fourth Proportional to 6,400.45, 8,830.78 and 4,165.61

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Solution

The fourth proportional to 6,400.45, 8,830.78 and 4,165.61 is: 5,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.45 : 8,830.78 = 4,165.61 : x
  2. Step 2: Convert to fraction form
    6,400.45/8,830.78 = 4,165.61/x
  3. Step 3: Cross multiply
    6,400.45x = 8,830.78 × 4,165.61
  4. Step 4: Simplify right side
    6,400.45x = 36,785,530.91
  5. Step 5: Solve for x
    x = 36,785,530.91/6,400.45
  6. Step 6: Final answer
    x = 5,747.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.