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Finding the Fourth Proportional to 4,866.84, 7,297.92 and 3,406.68

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Solution

The fourth proportional to 4,866.84, 7,297.92 and 3,406.68 is: 5,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.84 : 7,297.92 = 3,406.68 : x
  2. Step 2: Convert to fraction form
    4,866.84/7,297.92 = 3,406.68/x
  3. Step 3: Cross multiply
    4,866.84x = 7,297.92 × 3,406.68
  4. Step 4: Simplify right side
    4,866.84x = 24,861,678.11
  5. Step 5: Solve for x
    x = 24,861,678.11/4,866.84
  6. Step 6: Final answer
    x = 5,108.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.