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Finding the Fourth Proportional to 4,147.84, 5,720.64 and 3,100.80

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Solution

The fourth proportional to 4,147.84, 5,720.64 and 3,100.80 is: 4,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.84 : 5,720.64 = 3,100.80 : x
  2. Step 2: Convert to fraction form
    4,147.84/5,720.64 = 3,100.80/x
  3. Step 3: Cross multiply
    4,147.84x = 5,720.64 × 3,100.80
  4. Step 4: Simplify right side
    4,147.84x = 17,738,560.51
  5. Step 5: Solve for x
    x = 17,738,560.51/4,147.84
  6. Step 6: Final answer
    x = 4,276.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.