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Finding the Fourth Proportional to 3,644.70, 5,029.54 and 2,153.10

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Solution

The fourth proportional to 3,644.70, 5,029.54 and 2,153.10 is: 2,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.70 : 5,029.54 = 2,153.10 : x
  2. Step 2: Convert to fraction form
    3,644.70/5,029.54 = 2,153.10/x
  3. Step 3: Cross multiply
    3,644.70x = 5,029.54 × 2,153.10
  4. Step 4: Simplify right side
    3,644.70x = 10,829,097.19
  5. Step 5: Solve for x
    x = 10,829,097.19/3,644.70
  6. Step 6: Final answer
    x = 2,971.19

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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.