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Finding the Fourth Proportional to 5,567.67, 7,684.04 and 3,330.74

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Solution

The fourth proportional to 5,567.67, 7,684.04 and 3,330.74 is: 4,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.67 : 7,684.04 = 3,330.74 : x
  2. Step 2: Convert to fraction form
    5,567.67/7,684.04 = 3,330.74/x
  3. Step 3: Cross multiply
    5,567.67x = 7,684.04 × 3,330.74
  4. Step 4: Simplify right side
    5,567.67x = 25,593,566.93
  5. Step 5: Solve for x
    x = 25,593,566.93/5,567.67
  6. Step 6: Final answer
    x = 4,596.82

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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.