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Finding the Fourth Proportional to 4,625.84, 6,384.44 and 3,638.64

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Solution

The fourth proportional to 4,625.84, 6,384.44 and 3,638.64 is: 5,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.84 : 6,384.44 = 3,638.64 : x
  2. Step 2: Convert to fraction form
    4,625.84/6,384.44 = 3,638.64/x
  3. Step 3: Cross multiply
    4,625.84x = 6,384.44 × 3,638.64
  4. Step 4: Simplify right side
    4,625.84x = 23,230,678.76
  5. Step 5: Solve for x
    x = 23,230,678.76/4,625.84
  6. Step 6: Final answer
    x = 5,021.94

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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.