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Finding the Fourth Proportional to 4,043.63, 6,064.26 and 1,577.90

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Solution

The fourth proportional to 4,043.63, 6,064.26 and 1,577.90 is: 2,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.63 : 6,064.26 = 1,577.90 : x
  2. Step 2: Convert to fraction form
    4,043.63/6,064.26 = 1,577.90/x
  3. Step 3: Cross multiply
    4,043.63x = 6,064.26 × 1,577.90
  4. Step 4: Simplify right side
    4,043.63x = 9,568,795.85
  5. Step 5: Solve for x
    x = 9,568,795.85/4,043.63
  6. Step 6: Final answer
    x = 2,366.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.