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Finding the Fourth Proportional to 5,735.12, 7,907.07 and 3,847.01

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Solution

The fourth proportional to 5,735.12, 7,907.07 and 3,847.01 is: 5,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.12 : 7,907.07 = 3,847.01 : x
  2. Step 2: Convert to fraction form
    5,735.12/7,907.07 = 3,847.01/x
  3. Step 3: Cross multiply
    5,735.12x = 7,907.07 × 3,847.01
  4. Step 4: Simplify right side
    5,735.12x = 30,418,558.13
  5. Step 5: Solve for x
    x = 30,418,558.13/5,735.12
  6. Step 6: Final answer
    x = 5,303.91

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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.