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Finding the Fourth Proportional to 4,649.54, 6,417.12 and 3,462.44

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Solution

The fourth proportional to 4,649.54, 6,417.12 and 3,462.44 is: 4,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.54 : 6,417.12 = 3,462.44 : x
  2. Step 2: Convert to fraction form
    4,649.54/6,417.12 = 3,462.44/x
  3. Step 3: Cross multiply
    4,649.54x = 6,417.12 × 3,462.44
  4. Step 4: Simplify right side
    4,649.54x = 22,218,860.89
  5. Step 5: Solve for x
    x = 22,218,860.89/4,649.54
  6. Step 6: Final answer
    x = 4,778.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.