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Finding the Fourth Proportional to 5,566.84, 7,682.24 and 3,049.04

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Solution

The fourth proportional to 5,566.84, 7,682.24 and 3,049.04 is: 4,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.84 : 7,682.24 = 3,049.04 : x
  2. Step 2: Convert to fraction form
    5,566.84/7,682.24 = 3,049.04/x
  3. Step 3: Cross multiply
    5,566.84x = 7,682.24 × 3,049.04
  4. Step 4: Simplify right side
    5,566.84x = 23,423,483.88
  5. Step 5: Solve for x
    x = 23,423,483.88/5,566.84
  6. Step 6: Final answer
    x = 4,207.68

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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.