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Finding the Fourth Proportional to 3,598.21, 4,965.26 and 2,026

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Solution

The fourth proportional to 3,598.21, 4,965.26 and 2,026 is: 2,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.21 : 4,965.26 = 2,026 : x
  2. Step 2: Convert to fraction form
    3,598.21/4,965.26 = 2,026/x
  3. Step 3: Cross multiply
    3,598.21x = 4,965.26 × 2,026
  4. Step 4: Simplify right side
    3,598.21x = 10,059,616.76
  5. Step 5: Solve for x
    x = 10,059,616.76/3,598.21
  6. Step 6: Final answer
    x = 2,795.73

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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.