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Finding the Fourth Proportional to 5,209.66, 7,817.54 and 3,133.64

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Solution

The fourth proportional to 5,209.66, 7,817.54 and 3,133.64 is: 4,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.66 : 7,817.54 = 3,133.64 : x
  2. Step 2: Convert to fraction form
    5,209.66/7,817.54 = 3,133.64/x
  3. Step 3: Cross multiply
    5,209.66x = 7,817.54 × 3,133.64
  4. Step 4: Simplify right side
    5,209.66x = 24,497,356.05
  5. Step 5: Solve for x
    x = 24,497,356.05/5,209.66
  6. Step 6: Final answer
    x = 4,702.29

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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.