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Finding the Fourth Proportional to 4,644.88, 6,962.44 and 1,524.08

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Solution

The fourth proportional to 4,644.88, 6,962.44 and 1,524.08 is: 2,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.88 : 6,962.44 = 1,524.08 : x
  2. Step 2: Convert to fraction form
    4,644.88/6,962.44 = 1,524.08/x
  3. Step 3: Cross multiply
    4,644.88x = 6,962.44 × 1,524.08
  4. Step 4: Simplify right side
    4,644.88x = 10,611,315.56
  5. Step 5: Solve for x
    x = 10,611,315.56/4,644.88
  6. Step 6: Final answer
    x = 2,284.52

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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.