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Finding the Fourth Proportional to 3,814.06, 5,675.41 and 3,801.10

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Solution

The fourth proportional to 3,814.06, 5,675.41 and 3,801.10 is: 5,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.06 : 5,675.41 = 3,801.10 : x
  2. Step 2: Convert to fraction form
    3,814.06/5,675.41 = 3,801.10/x
  3. Step 3: Cross multiply
    3,814.06x = 5,675.41 × 3,801.10
  4. Step 4: Simplify right side
    3,814.06x = 21,572,781.95
  5. Step 5: Solve for x
    x = 21,572,781.95/3,814.06
  6. Step 6: Final answer
    x = 5,656.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.