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Finding the Fourth Proportional to 5,367.59, 8,053.06 and 2,408.50

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Solution

The fourth proportional to 5,367.59, 8,053.06 and 2,408.50 is: 3,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.59 : 8,053.06 = 2,408.50 : x
  2. Step 2: Convert to fraction form
    5,367.59/8,053.06 = 2,408.50/x
  3. Step 3: Cross multiply
    5,367.59x = 8,053.06 × 2,408.50
  4. Step 4: Simplify right side
    5,367.59x = 19,395,795.01
  5. Step 5: Solve for x
    x = 19,395,795.01/5,367.59
  6. Step 6: Final answer
    x = 3,613.50

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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.