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Finding the Fourth Proportional to 4,462.61, 6,678.22 and 3,582.95

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Solution

The fourth proportional to 4,462.61, 6,678.22 and 3,582.95 is: 5,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.61 : 6,678.22 = 3,582.95 : x
  2. Step 2: Convert to fraction form
    4,462.61/6,678.22 = 3,582.95/x
  3. Step 3: Cross multiply
    4,462.61x = 6,678.22 × 3,582.95
  4. Step 4: Simplify right side
    4,462.61x = 23,927,736.09
  5. Step 5: Solve for x
    x = 23,927,736.09/4,462.61
  6. Step 6: Final answer
    x = 5,361.82

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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.