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Finding the Fourth Proportional to 3,333.84, 4,997.42 and 1,141.06

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Solution

The fourth proportional to 3,333.84, 4,997.42 and 1,141.06 is: 1,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.84 : 4,997.42 = 1,141.06 : x
  2. Step 2: Convert to fraction form
    3,333.84/4,997.42 = 1,141.06/x
  3. Step 3: Cross multiply
    3,333.84x = 4,997.42 × 1,141.06
  4. Step 4: Simplify right side
    3,333.84x = 5,702,356.07
  5. Step 5: Solve for x
    x = 5,702,356.07/3,333.84
  6. Step 6: Final answer
    x = 1,710.45

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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.