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Finding the Fourth Proportional to 4,818.96, 7,227.72 and 1,899.24

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Solution

The fourth proportional to 4,818.96, 7,227.72 and 1,899.24 is: 2,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,818.96 : 7,227.72 = 1,899.24 : x
  2. Step 2: Convert to fraction form
    4,818.96/7,227.72 = 1,899.24/x
  3. Step 3: Cross multiply
    4,818.96x = 7,227.72 × 1,899.24
  4. Step 4: Simplify right side
    4,818.96x = 13,727,174.93
  5. Step 5: Solve for x
    x = 13,727,174.93/4,818.96
  6. Step 6: Final answer
    x = 2,848.58

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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.