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Finding the Fourth Proportional to 3,630.02, 4,976.79 and 3,564.41

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Solution

The fourth proportional to 3,630.02, 4,976.79 and 3,564.41 is: 4,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.02 : 4,976.79 = 3,564.41 : x
  2. Step 2: Convert to fraction form
    3,630.02/4,976.79 = 3,564.41/x
  3. Step 3: Cross multiply
    3,630.02x = 4,976.79 × 3,564.41
  4. Step 4: Simplify right side
    3,630.02x = 17,739,295.16
  5. Step 5: Solve for x
    x = 17,739,295.16/3,630.02
  6. Step 6: Final answer
    x = 4,886.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.