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Finding the Fourth Proportional to 4,737.41, 7,102.09 and 1,962.35

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Solution

The fourth proportional to 4,737.41, 7,102.09 and 1,962.35 is: 2,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.41 : 7,102.09 = 1,962.35 : x
  2. Step 2: Convert to fraction form
    4,737.41/7,102.09 = 1,962.35/x
  3. Step 3: Cross multiply
    4,737.41x = 7,102.09 × 1,962.35
  4. Step 4: Simplify right side
    4,737.41x = 13,936,745.90
  5. Step 5: Solve for x
    x = 13,936,745.90/4,737.41
  6. Step 6: Final answer
    x = 2,941.85

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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.