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Finding the Fourth Proportional to 4,737.52, 7,106.20 and 1,450.48

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Solution

The fourth proportional to 4,737.52, 7,106.20 and 1,450.48 is: 2,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.52 : 7,106.20 = 1,450.48 : x
  2. Step 2: Convert to fraction form
    4,737.52/7,106.20 = 1,450.48/x
  3. Step 3: Cross multiply
    4,737.52x = 7,106.20 × 1,450.48
  4. Step 4: Simplify right side
    4,737.52x = 10,307,400.98
  5. Step 5: Solve for x
    x = 10,307,400.98/4,737.52
  6. Step 6: Final answer
    x = 2,175.70

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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.