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Finding the Fourth Proportional to 3,630.58, 4,977.56 and 3,564.97

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Solution

The fourth proportional to 3,630.58, 4,977.56 and 3,564.97 is: 4,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.58 : 4,977.56 = 3,564.97 : x
  2. Step 2: Convert to fraction form
    3,630.58/4,977.56 = 3,564.97/x
  3. Step 3: Cross multiply
    3,630.58x = 4,977.56 × 3,564.97
  4. Step 4: Simplify right side
    3,630.58x = 17,744,852.07
  5. Step 5: Solve for x
    x = 17,744,852.07/3,630.58
  6. Step 6: Final answer
    x = 4,887.61

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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.