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Finding the Fourth Proportional to 3,566.52, 5,347.62 and 2,408.76

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Solution

The fourth proportional to 3,566.52, 5,347.62 and 2,408.76 is: 3,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.52 : 5,347.62 = 2,408.76 : x
  2. Step 2: Convert to fraction form
    3,566.52/5,347.62 = 2,408.76/x
  3. Step 3: Cross multiply
    3,566.52x = 5,347.62 × 2,408.76
  4. Step 4: Simplify right side
    3,566.52x = 12,881,133.15
  5. Step 5: Solve for x
    x = 12,881,133.15/3,566.52
  6. Step 6: Final answer
    x = 3,611.68

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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.