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Finding the Fourth Proportional to 4,129.46, 5,697.80 and 2,636.44

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Solution

The fourth proportional to 4,129.46, 5,697.80 and 2,636.44 is: 3,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.46 : 5,697.80 = 2,636.44 : x
  2. Step 2: Convert to fraction form
    4,129.46/5,697.80 = 2,636.44/x
  3. Step 3: Cross multiply
    4,129.46x = 5,697.80 × 2,636.44
  4. Step 4: Simplify right side
    4,129.46x = 15,021,907.83
  5. Step 5: Solve for x
    x = 15,021,907.83/4,129.46
  6. Step 6: Final answer
    x = 3,637.74

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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.