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Finding the Fourth Proportional to 3,644.64, 5,029.40 and 2,072.63

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Solution

The fourth proportional to 3,644.64, 5,029.40 and 2,072.63 is: 2,860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.64 : 5,029.40 = 2,072.63 : x
  2. Step 2: Convert to fraction form
    3,644.64/5,029.40 = 2,072.63/x
  3. Step 3: Cross multiply
    3,644.64x = 5,029.40 × 2,072.63
  4. Step 4: Simplify right side
    3,644.64x = 10,424,085.32
  5. Step 5: Solve for x
    x = 10,424,085.32/3,644.64
  6. Step 6: Final answer
    x = 2,860.11

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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.