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Finding the Fourth Proportional to 4,737.44, 7,106.16 and 1,815.75

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Solution

The fourth proportional to 4,737.44, 7,106.16 and 1,815.75 is: 2,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.44 : 7,106.16 = 1,815.75 : x
  2. Step 2: Convert to fraction form
    4,737.44/7,106.16 = 1,815.75/x
  3. Step 3: Cross multiply
    4,737.44x = 7,106.16 × 1,815.75
  4. Step 4: Simplify right side
    4,737.44x = 12,903,010.02
  5. Step 5: Solve for x
    x = 12,903,010.02/4,737.44
  6. Step 6: Final answer
    x = 2,723.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.