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Finding the Fourth Proportional to 5,566.22, 7,681.38 and 3,208.82

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Solution

The fourth proportional to 5,566.22, 7,681.38 and 3,208.82 is: 4,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.22 : 7,681.38 = 3,208.82 : x
  2. Step 2: Convert to fraction form
    5,566.22/7,681.38 = 3,208.82/x
  3. Step 3: Cross multiply
    5,566.22x = 7,681.38 × 3,208.82
  4. Step 4: Simplify right side
    5,566.22x = 24,648,133.38
  5. Step 5: Solve for x
    x = 24,648,133.38/5,566.22
  6. Step 6: Final answer
    x = 4,428.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.