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Finding the Fourth Proportional to 4,737.78, 7,106.81 and 1,450.80

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Solution

The fourth proportional to 4,737.78, 7,106.81 and 1,450.80 is: 2,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.78 : 7,106.81 = 1,450.80 : x
  2. Step 2: Convert to fraction form
    4,737.78/7,106.81 = 1,450.80/x
  3. Step 3: Cross multiply
    4,737.78x = 7,106.81 × 1,450.80
  4. Step 4: Simplify right side
    4,737.78x = 10,310,559.95
  5. Step 5: Solve for x
    x = 10,310,559.95/4,737.78
  6. Step 6: Final answer
    x = 2,176.24

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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.