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Finding the Fourth Proportional to 3,482.37, 5,222.97 and 1,401.84

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Solution

The fourth proportional to 3,482.37, 5,222.97 and 1,401.84 is: 2,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.37 : 5,222.97 = 1,401.84 : x
  2. Step 2: Convert to fraction form
    3,482.37/5,222.97 = 1,401.84/x
  3. Step 3: Cross multiply
    3,482.37x = 5,222.97 × 1,401.84
  4. Step 4: Simplify right side
    3,482.37x = 7,321,768.26
  5. Step 5: Solve for x
    x = 7,321,768.26/3,482.37
  6. Step 6: Final answer
    x = 2,102.52

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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.