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Finding the Fourth Proportional to 5,814.87, 8,722.38 and 1,654.89

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Solution

The fourth proportional to 5,814.87, 8,722.38 and 1,654.89 is: 2,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.87 : 8,722.38 = 1,654.89 : x
  2. Step 2: Convert to fraction form
    5,814.87/8,722.38 = 1,654.89/x
  3. Step 3: Cross multiply
    5,814.87x = 8,722.38 × 1,654.89
  4. Step 4: Simplify right side
    5,814.87x = 14,434,579.44
  5. Step 5: Solve for x
    x = 14,434,579.44/5,814.87
  6. Step 6: Final answer
    x = 2,482.36

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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.