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Finding the Fourth Proportional to 4,644.19, 6,405.44 and 2,849.77

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Solution

The fourth proportional to 4,644.19, 6,405.44 and 2,849.77 is: 3,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.19 : 6,405.44 = 2,849.77 : x
  2. Step 2: Convert to fraction form
    4,644.19/6,405.44 = 2,849.77/x
  3. Step 3: Cross multiply
    4,644.19x = 6,405.44 × 2,849.77
  4. Step 4: Simplify right side
    4,644.19x = 18,254,030.75
  5. Step 5: Solve for x
    x = 18,254,030.75/4,644.19
  6. Step 6: Final answer
    x = 3,930.51

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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.