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Finding the Fourth Proportional to 3,644.55, 5,029.43 and 2,051.08

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Solution

The fourth proportional to 3,644.55, 5,029.43 and 2,051.08 is: 2,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.55 : 5,029.43 = 2,051.08 : x
  2. Step 2: Convert to fraction form
    3,644.55/5,029.43 = 2,051.08/x
  3. Step 3: Cross multiply
    3,644.55x = 5,029.43 × 2,051.08
  4. Step 4: Simplify right side
    3,644.55x = 10,315,740.46
  5. Step 5: Solve for x
    x = 10,315,740.46/3,644.55
  6. Step 6: Final answer
    x = 2,830.46

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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.