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Finding the Fourth Proportional to 4,615.24, 6,369 and 2,625.64

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Solution

The fourth proportional to 4,615.24, 6,369 and 2,625.64 is: 3,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.24 : 6,369 = 2,625.64 : x
  2. Step 2: Convert to fraction form
    4,615.24/6,369 = 2,625.64/x
  3. Step 3: Cross multiply
    4,615.24x = 6,369 × 2,625.64
  4. Step 4: Simplify right side
    4,615.24x = 16,722,701.16
  5. Step 5: Solve for x
    x = 16,722,701.16/4,615.24
  6. Step 6: Final answer
    x = 3,623.37

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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.