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Finding the Fourth Proportional to 4,647.36, 6,960.06 and 3,666.90

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Solution

The fourth proportional to 4,647.36, 6,960.06 and 3,666.90 is: 5,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.36 : 6,960.06 = 3,666.90 : x
  2. Step 2: Convert to fraction form
    4,647.36/6,960.06 = 3,666.90/x
  3. Step 3: Cross multiply
    4,647.36x = 6,960.06 × 3,666.90
  4. Step 4: Simplify right side
    4,647.36x = 25,521,844.01
  5. Step 5: Solve for x
    x = 25,521,844.01/4,647.36
  6. Step 6: Final answer
    x = 5,491.69

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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.