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Finding the Fourth Proportional to 4,464.36, 6,703.08 and 4,385.62

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Solution

The fourth proportional to 4,464.36, 6,703.08 and 4,385.62 is: 6,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.36 : 6,703.08 = 4,385.62 : x
  2. Step 2: Convert to fraction form
    4,464.36/6,703.08 = 4,385.62/x
  3. Step 3: Cross multiply
    4,464.36x = 6,703.08 × 4,385.62
  4. Step 4: Simplify right side
    4,464.36x = 29,397,161.71
  5. Step 5: Solve for x
    x = 29,397,161.71/4,464.36
  6. Step 6: Final answer
    x = 6,584.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.