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Finding the Fourth Proportional to 3,505.75, 5,259.69 and 2,101.72

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Solution

The fourth proportional to 3,505.75, 5,259.69 and 2,101.72 is: 3,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.75 : 5,259.69 = 2,101.72 : x
  2. Step 2: Convert to fraction form
    3,505.75/5,259.69 = 2,101.72/x
  3. Step 3: Cross multiply
    3,505.75x = 5,259.69 × 2,101.72
  4. Step 4: Simplify right side
    3,505.75x = 11,054,405.12
  5. Step 5: Solve for x
    x = 11,054,405.12/3,505.75
  6. Step 6: Final answer
    x = 3,153.22

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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.