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Finding the Fourth Proportional to 4,818, 7,227.36 and 2,737.20

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Solution

The fourth proportional to 4,818, 7,227.36 and 2,737.20 is: 4,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,818 : 7,227.36 = 2,737.20 : x
  2. Step 2: Convert to fraction form
    4,818/7,227.36 = 2,737.20/x
  3. Step 3: Cross multiply
    4,818x = 7,227.36 × 2,737.20
  4. Step 4: Simplify right side
    4,818x = 19,782,729.79
  5. Step 5: Solve for x
    x = 19,782,729.79/4,818
  6. Step 6: Final answer
    x = 4,106.00

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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.