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Finding the Fourth Proportional to 3,712.35, 5,568.53 and 3,161.01

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Solution

The fourth proportional to 3,712.35, 5,568.53 and 3,161.01 is: 4,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.35 : 5,568.53 = 3,161.01 : x
  2. Step 2: Convert to fraction form
    3,712.35/5,568.53 = 3,161.01/x
  3. Step 3: Cross multiply
    3,712.35x = 5,568.53 × 3,161.01
  4. Step 4: Simplify right side
    3,712.35x = 17,602,179.02
  5. Step 5: Solve for x
    x = 17,602,179.02/3,712.35
  6. Step 6: Final answer
    x = 4,741.52

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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.