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Finding the Fourth Proportional to 5,049.24, 7,555.86 and 4,407

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Solution

The fourth proportional to 5,049.24, 7,555.86 and 4,407 is: 6,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.24 : 7,555.86 = 4,407 : x
  2. Step 2: Convert to fraction form
    5,049.24/7,555.86 = 4,407/x
  3. Step 3: Cross multiply
    5,049.24x = 7,555.86 × 4,407
  4. Step 4: Simplify right side
    5,049.24x = 33,298,675.02
  5. Step 5: Solve for x
    x = 33,298,675.02/5,049.24
  6. Step 6: Final answer
    x = 6,594.79

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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.