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Finding the Fourth Proportional to 4,737.37, 7,106.37 and 1,616.56

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Solution

The fourth proportional to 4,737.37, 7,106.37 and 1,616.56 is: 2,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.37 : 7,106.37 = 1,616.56 : x
  2. Step 2: Convert to fraction form
    4,737.37/7,106.37 = 1,616.56/x
  3. Step 3: Cross multiply
    4,737.37x = 7,106.37 × 1,616.56
  4. Step 4: Simplify right side
    4,737.37x = 11,487,873.49
  5. Step 5: Solve for x
    x = 11,487,873.49/4,737.37
  6. Step 6: Final answer
    x = 2,424.95

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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.