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Finding the Fourth Proportional to 5,268.96, 7,904.16 and 1,571.48

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Solution

The fourth proportional to 5,268.96, 7,904.16 and 1,571.48 is: 2,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.96 : 7,904.16 = 1,571.48 : x
  2. Step 2: Convert to fraction form
    5,268.96/7,904.16 = 1,571.48/x
  3. Step 3: Cross multiply
    5,268.96x = 7,904.16 × 1,571.48
  4. Step 4: Simplify right side
    5,268.96x = 12,421,229.36
  5. Step 5: Solve for x
    x = 12,421,229.36/5,268.96
  6. Step 6: Final answer
    x = 2,357.43

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Why These Related Problems?

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