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Finding the Fourth Proportional to 3,996.51, 5,997.06 and 1,531.50

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Solution

The fourth proportional to 3,996.51, 5,997.06 and 1,531.50 is: 2,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.51 : 5,997.06 = 1,531.50 : x
  2. Step 2: Convert to fraction form
    3,996.51/5,997.06 = 1,531.50/x
  3. Step 3: Cross multiply
    3,996.51x = 5,997.06 × 1,531.50
  4. Step 4: Simplify right side
    3,996.51x = 9,184,497.39
  5. Step 5: Solve for x
    x = 9,184,497.39/3,996.51
  6. Step 6: Final answer
    x = 2,298.13

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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.