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Finding the Fourth Proportional to 5,160, 7,739.94 and 3,512.46

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Solution

The fourth proportional to 5,160, 7,739.94 and 3,512.46 is: 5,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160 : 7,739.94 = 3,512.46 : x
  2. Step 2: Convert to fraction form
    5,160/7,739.94 = 3,512.46/x
  3. Step 3: Cross multiply
    5,160x = 7,739.94 × 3,512.46
  4. Step 4: Simplify right side
    5,160x = 27,186,229.65
  5. Step 5: Solve for x
    x = 27,186,229.65/5,160
  6. Step 6: Final answer
    x = 5,268.65

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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.