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Finding the Fourth Proportional to 4,469.91, 6,165.64 and 2,878.63

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Solution

The fourth proportional to 4,469.91, 6,165.64 and 2,878.63 is: 3,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.91 : 6,165.64 = 2,878.63 : x
  2. Step 2: Convert to fraction form
    4,469.91/6,165.64 = 2,878.63/x
  3. Step 3: Cross multiply
    4,469.91x = 6,165.64 × 2,878.63
  4. Step 4: Simplify right side
    4,469.91x = 17,748,596.27
  5. Step 5: Solve for x
    x = 17,748,596.27/4,469.91
  6. Step 6: Final answer
    x = 3,970.68

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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.