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Finding the Fourth Proportional to 5,190.48, 7,782.84 and 1,725.84

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Solution

The fourth proportional to 5,190.48, 7,782.84 and 1,725.84 is: 2,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.48 : 7,782.84 = 1,725.84 : x
  2. Step 2: Convert to fraction form
    5,190.48/7,782.84 = 1,725.84/x
  3. Step 3: Cross multiply
    5,190.48x = 7,782.84 × 1,725.84
  4. Step 4: Simplify right side
    5,190.48x = 13,431,936.59
  5. Step 5: Solve for x
    x = 13,431,936.59/5,190.48
  6. Step 6: Final answer
    x = 2,587.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.