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Finding the Fourth Proportional to 5,449.59, 8,174.52 and 1,554.30

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Solution

The fourth proportional to 5,449.59, 8,174.52 and 1,554.30 is: 2,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.59 : 8,174.52 = 1,554.30 : x
  2. Step 2: Convert to fraction form
    5,449.59/8,174.52 = 1,554.30/x
  3. Step 3: Cross multiply
    5,449.59x = 8,174.52 × 1,554.30
  4. Step 4: Simplify right side
    5,449.59x = 12,705,656.44
  5. Step 5: Solve for x
    x = 12,705,656.44/5,449.59
  6. Step 6: Final answer
    x = 2,331.49

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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.