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Finding the Fourth Proportional to 3,506.62, 5,259.94 and 909.56

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Solution

The fourth proportional to 3,506.62, 5,259.94 and 909.56 is: 1,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.62 : 5,259.94 = 909.56 : x
  2. Step 2: Convert to fraction form
    3,506.62/5,259.94 = 909.56/x
  3. Step 3: Cross multiply
    3,506.62x = 5,259.94 × 909.56
  4. Step 4: Simplify right side
    3,506.62x = 4,784,231.03
  5. Step 5: Solve for x
    x = 4,784,231.03/3,506.62
  6. Step 6: Final answer
    x = 1,364.34

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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.