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Finding the Fourth Proportional to 5,209.02, 7,813.62 and 1,877.49

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Solution

The fourth proportional to 5,209.02, 7,813.62 and 1,877.49 is: 2,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.02 : 7,813.62 = 1,877.49 : x
  2. Step 2: Convert to fraction form
    5,209.02/7,813.62 = 1,877.49/x
  3. Step 3: Cross multiply
    5,209.02x = 7,813.62 × 1,877.49
  4. Step 4: Simplify right side
    5,209.02x = 14,669,993.41
  5. Step 5: Solve for x
    x = 14,669,993.41/5,209.02
  6. Step 6: Final answer
    x = 2,816.27

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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.