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Finding the Fourth Proportional to 5,254.65, 7,879.82 and 4,211.37

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Solution

The fourth proportional to 5,254.65, 7,879.82 and 4,211.37 is: 6,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.65 : 7,879.82 = 4,211.37 : x
  2. Step 2: Convert to fraction form
    5,254.65/7,879.82 = 4,211.37/x
  3. Step 3: Cross multiply
    5,254.65x = 7,879.82 × 4,211.37
  4. Step 4: Simplify right side
    5,254.65x = 33,184,816.50
  5. Step 5: Solve for x
    x = 33,184,816.50/5,254.65
  6. Step 6: Final answer
    x = 6,315.32

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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.