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Finding the Fourth Proportional to 4,494.54, 6,745.47 and 2,415.69

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Solution

The fourth proportional to 4,494.54, 6,745.47 and 2,415.69 is: 3,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.54 : 6,745.47 = 2,415.69 : x
  2. Step 2: Convert to fraction form
    4,494.54/6,745.47 = 2,415.69/x
  3. Step 3: Cross multiply
    4,494.54x = 6,745.47 × 2,415.69
  4. Step 4: Simplify right side
    4,494.54x = 16,294,964.42
  5. Step 5: Solve for x
    x = 16,294,964.42/4,494.54
  6. Step 6: Final answer
    x = 3,625.50

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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.