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Finding the Fourth Proportional to 6,404.94, 8,840.26 and 4,046.64

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Solution

The fourth proportional to 6,404.94, 8,840.26 and 4,046.64 is: 5,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.94 : 8,840.26 = 4,046.64 : x
  2. Step 2: Convert to fraction form
    6,404.94/8,840.26 = 4,046.64/x
  3. Step 3: Cross multiply
    6,404.94x = 8,840.26 × 4,046.64
  4. Step 4: Simplify right side
    6,404.94x = 35,773,349.73
  5. Step 5: Solve for x
    x = 35,773,349.73/6,404.94
  6. Step 6: Final answer
    x = 5,585.27

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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.