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Finding the Fourth Proportional to 3,781.59, 5,675.27 and 1,592.07

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Solution

The fourth proportional to 3,781.59, 5,675.27 and 1,592.07 is: 2,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.59 : 5,675.27 = 1,592.07 : x
  2. Step 2: Convert to fraction form
    3,781.59/5,675.27 = 1,592.07/x
  3. Step 3: Cross multiply
    3,781.59x = 5,675.27 × 1,592.07
  4. Step 4: Simplify right side
    3,781.59x = 9,035,419.15
  5. Step 5: Solve for x
    x = 9,035,419.15/3,781.59
  6. Step 6: Final answer
    x = 2,389.32

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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.