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Finding the Fourth Proportional to 5,828.74, 8,740.44 and 1,879.28

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Solution

The fourth proportional to 5,828.74, 8,740.44 and 1,879.28 is: 2,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.74 : 8,740.44 = 1,879.28 : x
  2. Step 2: Convert to fraction form
    5,828.74/8,740.44 = 1,879.28/x
  3. Step 3: Cross multiply
    5,828.74x = 8,740.44 × 1,879.28
  4. Step 4: Simplify right side
    5,828.74x = 16,425,734.08
  5. Step 5: Solve for x
    x = 16,425,734.08/5,828.74
  6. Step 6: Final answer
    x = 2,818.06

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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.