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Finding the Fourth Proportional to 5,566.14, 7,678.67 and 3,206.91

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Solution

The fourth proportional to 5,566.14, 7,678.67 and 3,206.91 is: 4,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.14 : 7,678.67 = 3,206.91 : x
  2. Step 2: Convert to fraction form
    5,566.14/7,678.67 = 3,206.91/x
  3. Step 3: Cross multiply
    5,566.14x = 7,678.67 × 3,206.91
  4. Step 4: Simplify right side
    5,566.14x = 24,624,787.58
  5. Step 5: Solve for x
    x = 24,624,787.58/5,566.14
  6. Step 6: Final answer
    x = 4,424.03

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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.