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Finding the Fourth Proportional to 4,566.32, 6,849.44 and 1,644.84

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Solution

The fourth proportional to 4,566.32, 6,849.44 and 1,644.84 is: 2,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.32 : 6,849.44 = 1,644.84 : x
  2. Step 2: Convert to fraction form
    4,566.32/6,849.44 = 1,644.84/x
  3. Step 3: Cross multiply
    4,566.32x = 6,849.44 × 1,644.84
  4. Step 4: Simplify right side
    4,566.32x = 11,266,232.89
  5. Step 5: Solve for x
    x = 11,266,232.89/4,566.32
  6. Step 6: Final answer
    x = 2,467.25

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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.