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Finding the Fourth Proportional to 5,566.02, 7,678.49 and 3,206.79

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Solution

The fourth proportional to 5,566.02, 7,678.49 and 3,206.79 is: 4,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.02 : 7,678.49 = 3,206.79 : x
  2. Step 2: Convert to fraction form
    5,566.02/7,678.49 = 3,206.79/x
  3. Step 3: Cross multiply
    5,566.02x = 7,678.49 × 3,206.79
  4. Step 4: Simplify right side
    5,566.02x = 24,623,304.95
  5. Step 5: Solve for x
    x = 24,623,304.95/5,566.02
  6. Step 6: Final answer
    x = 4,423.86

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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.