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Finding the Fourth Proportional to 4,566.81, 6,846.11 and 1,643.06

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Solution

The fourth proportional to 4,566.81, 6,846.11 and 1,643.06 is: 2,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.81 : 6,846.11 = 1,643.06 : x
  2. Step 2: Convert to fraction form
    4,566.81/6,846.11 = 1,643.06/x
  3. Step 3: Cross multiply
    4,566.81x = 6,846.11 × 1,643.06
  4. Step 4: Simplify right side
    4,566.81x = 11,248,584.56
  5. Step 5: Solve for x
    x = 11,248,584.56/4,566.81
  6. Step 6: Final answer
    x = 2,463.11

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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.