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Finding the Fourth Proportional to 4,772.02, 7,157.22 and 1,262.06

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Solution

The fourth proportional to 4,772.02, 7,157.22 and 1,262.06 is: 1,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.02 : 7,157.22 = 1,262.06 : x
  2. Step 2: Convert to fraction form
    4,772.02/7,157.22 = 1,262.06/x
  3. Step 3: Cross multiply
    4,772.02x = 7,157.22 × 1,262.06
  4. Step 4: Simplify right side
    4,772.02x = 9,032,841.07
  5. Step 5: Solve for x
    x = 9,032,841.07/4,772.02
  6. Step 6: Final answer
    x = 1,892.88

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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.