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Finding the Fourth Proportional to 4,018.39, 6,026.64 and 1,096

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Solution

The fourth proportional to 4,018.39, 6,026.64 and 1,096 is: 1,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,018.39 : 6,026.64 = 1,096 : x
  2. Step 2: Convert to fraction form
    4,018.39/6,026.64 = 1,096/x
  3. Step 3: Cross multiply
    4,018.39x = 6,026.64 × 1,096
  4. Step 4: Simplify right side
    4,018.39x = 6,605,191.96
  5. Step 5: Solve for x
    x = 6,605,191.96/4,018.39
  6. Step 6: Final answer
    x = 1,643.74

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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.