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Finding the Fourth Proportional to 3,217.64, 4,826.63 and 909.32

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Solution

The fourth proportional to 3,217.64, 4,826.63 and 909.32 is: 1,364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.64 : 4,826.63 = 909.32 : x
  2. Step 2: Convert to fraction form
    3,217.64/4,826.63 = 909.32/x
  3. Step 3: Cross multiply
    3,217.64x = 4,826.63 × 909.32
  4. Step 4: Simplify right side
    3,217.64x = 4,388,951.19
  5. Step 5: Solve for x
    x = 4,388,951.19/3,217.64
  6. Step 6: Final answer
    x = 1,364.03

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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.