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Finding the Fourth Proportional to 3,485.45, 5,226.89 and 1,404.90

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Solution

The fourth proportional to 3,485.45, 5,226.89 and 1,404.90 is: 2,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.45 : 5,226.89 = 1,404.90 : x
  2. Step 2: Convert to fraction form
    3,485.45/5,226.89 = 1,404.90/x
  3. Step 3: Cross multiply
    3,485.45x = 5,226.89 × 1,404.90
  4. Step 4: Simplify right side
    3,485.45x = 7,343,250.74
  5. Step 5: Solve for x
    x = 7,343,250.74/3,485.45
  6. Step 6: Final answer
    x = 2,106.83

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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.