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Finding the Fourth Proportional to 3,374.21, 5,061.69 and 909.05

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Solution

The fourth proportional to 3,374.21, 5,061.69 and 909.05 is: 1,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.21 : 5,061.69 = 909.05 : x
  2. Step 2: Convert to fraction form
    3,374.21/5,061.69 = 909.05/x
  3. Step 3: Cross multiply
    3,374.21x = 5,061.69 × 909.05
  4. Step 4: Simplify right side
    3,374.21x = 4,601,303.99
  5. Step 5: Solve for x
    x = 4,601,303.99/3,374.21
  6. Step 6: Final answer
    x = 1,363.67

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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.