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Finding the Fourth Proportional to 4,641.94, 6,408.21 and 3,027.58

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Solution

The fourth proportional to 4,641.94, 6,408.21 and 3,027.58 is: 4,179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.94 : 6,408.21 = 3,027.58 : x
  2. Step 2: Convert to fraction form
    4,641.94/6,408.21 = 3,027.58/x
  3. Step 3: Cross multiply
    4,641.94x = 6,408.21 × 3,027.58
  4. Step 4: Simplify right side
    4,641.94x = 19,401,368.43
  5. Step 5: Solve for x
    x = 19,401,368.43/4,641.94
  6. Step 6: Final answer
    x = 4,179.58

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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.