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Finding the Fourth Proportional to 3,644.63, 5,029.61 and 2,153.29

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Solution

The fourth proportional to 3,644.63, 5,029.61 and 2,153.29 is: 2,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.63 : 5,029.61 = 2,153.29 : x
  2. Step 2: Convert to fraction form
    3,644.63/5,029.61 = 2,153.29/x
  3. Step 3: Cross multiply
    3,644.63x = 5,029.61 × 2,153.29
  4. Step 4: Simplify right side
    3,644.63x = 10,830,208.92
  5. Step 5: Solve for x
    x = 10,830,208.92/3,644.63
  6. Step 6: Final answer
    x = 2,971.55

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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.