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Finding the Fourth Proportional to 5,072.31, 7,607.31 and 2,297.13

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Solution

The fourth proportional to 5,072.31, 7,607.31 and 2,297.13 is: 3,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.31 : 7,607.31 = 2,297.13 : x
  2. Step 2: Convert to fraction form
    5,072.31/7,607.31 = 2,297.13/x
  3. Step 3: Cross multiply
    5,072.31x = 7,607.31 × 2,297.13
  4. Step 4: Simplify right side
    5,072.31x = 17,474,980.02
  5. Step 5: Solve for x
    x = 17,474,980.02/5,072.31
  6. Step 6: Final answer
    x = 3,445.17

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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.