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Finding the Fourth Proportional to 5,307.85, 7,326.54 and 3,213.73

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Solution

The fourth proportional to 5,307.85, 7,326.54 and 3,213.73 is: 4,435.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.85 : 7,326.54 = 3,213.73 : x
  2. Step 2: Convert to fraction form
    5,307.85/7,326.54 = 3,213.73/x
  3. Step 3: Cross multiply
    5,307.85x = 7,326.54 × 3,213.73
  4. Step 4: Simplify right side
    5,307.85x = 23,545,468.69
  5. Step 5: Solve for x
    x = 23,545,468.69/5,307.85
  6. Step 6: Final answer
    x = 4,435.98

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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.