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Finding the Fourth Proportional to 5,714.59, 8,571.83 and 1,554.54

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Solution

The fourth proportional to 5,714.59, 8,571.83 and 1,554.54 is: 2,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.59 : 8,571.83 = 1,554.54 : x
  2. Step 2: Convert to fraction form
    5,714.59/8,571.83 = 1,554.54/x
  3. Step 3: Cross multiply
    5,714.59x = 8,571.83 × 1,554.54
  4. Step 4: Simplify right side
    5,714.59x = 13,325,214.04
  5. Step 5: Solve for x
    x = 13,325,214.04/5,714.59
  6. Step 6: Final answer
    x = 2,331.79

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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.