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Finding the Fourth Proportional to 5,130.72, 7,699.44 and 2,823.84

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Solution

The fourth proportional to 5,130.72, 7,699.44 and 2,823.84 is: 4,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.72 : 7,699.44 = 2,823.84 : x
  2. Step 2: Convert to fraction form
    5,130.72/7,699.44 = 2,823.84/x
  3. Step 3: Cross multiply
    5,130.72x = 7,699.44 × 2,823.84
  4. Step 4: Simplify right side
    5,130.72x = 21,741,986.65
  5. Step 5: Solve for x
    x = 21,741,986.65/5,130.72
  6. Step 6: Final answer
    x = 4,237.61

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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.