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Finding the Fourth Proportional to 3,642.98, 5,027.30 and 2,071.06

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Solution

The fourth proportional to 3,642.98, 5,027.30 and 2,071.06 is: 2,858.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.98 : 5,027.30 = 2,071.06 : x
  2. Step 2: Convert to fraction form
    3,642.98/5,027.30 = 2,071.06/x
  3. Step 3: Cross multiply
    3,642.98x = 5,027.30 × 2,071.06
  4. Step 4: Simplify right side
    3,642.98x = 10,411,839.94
  5. Step 5: Solve for x
    x = 10,411,839.94/3,642.98
  6. Step 6: Final answer
    x = 2,858.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.