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Finding the Fourth Proportional to 3,219.36, 4,829.03 and 1,139.48

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Solution

The fourth proportional to 3,219.36, 4,829.03 and 1,139.48 is: 1,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.36 : 4,829.03 = 1,139.48 : x
  2. Step 2: Convert to fraction form
    3,219.36/4,829.03 = 1,139.48/x
  3. Step 3: Cross multiply
    3,219.36x = 4,829.03 × 1,139.48
  4. Step 4: Simplify right side
    3,219.36x = 5,502,575.64
  5. Step 5: Solve for x
    x = 5,502,575.64/3,219.36
  6. Step 6: Final answer
    x = 1,709.22

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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.