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Finding the Fourth Proportional to 3,642.72, 5,027.40 and 2,070.96

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Solution

The fourth proportional to 3,642.72, 5,027.40 and 2,070.96 is: 2,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.72 : 5,027.40 = 2,070.96 : x
  2. Step 2: Convert to fraction form
    3,642.72/5,027.40 = 2,070.96/x
  3. Step 3: Cross multiply
    3,642.72x = 5,027.40 × 2,070.96
  4. Step 4: Simplify right side
    3,642.72x = 10,411,544.30
  5. Step 5: Solve for x
    x = 10,411,544.30/3,642.72
  6. Step 6: Final answer
    x = 2,858.18

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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.