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Finding the Fourth Proportional to 4,639.14, 6,402.06 and 2,649.42

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Solution

The fourth proportional to 4,639.14, 6,402.06 and 2,649.42 is: 3,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.14 : 6,402.06 = 2,649.42 : x
  2. Step 2: Convert to fraction form
    4,639.14/6,402.06 = 2,649.42/x
  3. Step 3: Cross multiply
    4,639.14x = 6,402.06 × 2,649.42
  4. Step 4: Simplify right side
    4,639.14x = 16,961,745.81
  5. Step 5: Solve for x
    x = 16,961,745.81/4,639.14
  6. Step 6: Final answer
    x = 3,656.23

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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.