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Finding the Fourth Proportional to 5,323.56, 7,986.29 and 1,813.39

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Solution

The fourth proportional to 5,323.56, 7,986.29 and 1,813.39 is: 2,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.56 : 7,986.29 = 1,813.39 : x
  2. Step 2: Convert to fraction form
    5,323.56/7,986.29 = 1,813.39/x
  3. Step 3: Cross multiply
    5,323.56x = 7,986.29 × 1,813.39
  4. Step 4: Simplify right side
    5,323.56x = 14,482,258.42
  5. Step 5: Solve for x
    x = 14,482,258.42/5,323.56
  6. Step 6: Final answer
    x = 2,720.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.