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Finding the Fourth Proportional to 4,772.42, 7,156.88 and 1,651.63

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Solution

The fourth proportional to 4,772.42, 7,156.88 and 1,651.63 is: 2,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.42 : 7,156.88 = 1,651.63 : x
  2. Step 2: Convert to fraction form
    4,772.42/7,156.88 = 1,651.63/x
  3. Step 3: Cross multiply
    4,772.42x = 7,156.88 × 1,651.63
  4. Step 4: Simplify right side
    4,772.42x = 11,820,497.76
  5. Step 5: Solve for x
    x = 11,820,497.76/4,772.42
  6. Step 6: Final answer
    x = 2,476.83

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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.