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Finding the Fourth Proportional to 4,652.48, 6,975.99 and 1,879.24

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Solution

The fourth proportional to 4,652.48, 6,975.99 and 1,879.24 is: 2,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.48 : 6,975.99 = 1,879.24 : x
  2. Step 2: Convert to fraction form
    4,652.48/6,975.99 = 1,879.24/x
  3. Step 3: Cross multiply
    4,652.48x = 6,975.99 × 1,879.24
  4. Step 4: Simplify right side
    4,652.48x = 13,109,559.45
  5. Step 5: Solve for x
    x = 13,109,559.45/4,652.48
  6. Step 6: Final answer
    x = 2,817.76

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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.