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Finding the Fourth Proportional to 5,647.40, 8,468.21 and 3,307.91

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Solution

The fourth proportional to 5,647.40, 8,468.21 and 3,307.91 is: 4,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.40 : 8,468.21 = 3,307.91 : x
  2. Step 2: Convert to fraction form
    5,647.40/8,468.21 = 3,307.91/x
  3. Step 3: Cross multiply
    5,647.40x = 8,468.21 × 3,307.91
  4. Step 4: Simplify right side
    5,647.40x = 28,012,076.54
  5. Step 5: Solve for x
    x = 28,012,076.54/5,647.40
  6. Step 6: Final answer
    x = 4,960.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.