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Finding the Fourth Proportional to 3,500.09, 5,250.10 and 1,419.60

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Solution

The fourth proportional to 3,500.09, 5,250.10 and 1,419.60 is: 2,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.09 : 5,250.10 = 1,419.60 : x
  2. Step 2: Convert to fraction form
    3,500.09/5,250.10 = 1,419.60/x
  3. Step 3: Cross multiply
    3,500.09x = 5,250.10 × 1,419.60
  4. Step 4: Simplify right side
    3,500.09x = 7,453,041.96
  5. Step 5: Solve for x
    x = 7,453,041.96/3,500.09
  6. Step 6: Final answer
    x = 2,129.39

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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.