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Finding the Fourth Proportional to 5,728.68, 7,905.18 and 3,370.32

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Solution

The fourth proportional to 5,728.68, 7,905.18 and 3,370.32 is: 4,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.68 : 7,905.18 = 3,370.32 : x
  2. Step 2: Convert to fraction form
    5,728.68/7,905.18 = 3,370.32/x
  3. Step 3: Cross multiply
    5,728.68x = 7,905.18 × 3,370.32
  4. Step 4: Simplify right side
    5,728.68x = 26,642,986.26
  5. Step 5: Solve for x
    x = 26,642,986.26/5,728.68
  6. Step 6: Final answer
    x = 4,650.81

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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.