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Finding the Fourth Proportional to 3,755.70, 5,645.69 and 3,485.16

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Solution

The fourth proportional to 3,755.70, 5,645.69 and 3,485.16 is: 5,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.70 : 5,645.69 = 3,485.16 : x
  2. Step 2: Convert to fraction form
    3,755.70/5,645.69 = 3,485.16/x
  3. Step 3: Cross multiply
    3,755.70x = 5,645.69 × 3,485.16
  4. Step 4: Simplify right side
    3,755.70x = 19,676,132.96
  5. Step 5: Solve for x
    x = 19,676,132.96/3,755.70
  6. Step 6: Final answer
    x = 5,239.01

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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.