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Finding the Fourth Proportional to 5,571.56, 7,684.19 and 3,975.38

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Solution

The fourth proportional to 5,571.56, 7,684.19 and 3,975.38 is: 5,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.56 : 7,684.19 = 3,975.38 : x
  2. Step 2: Convert to fraction form
    5,571.56/7,684.19 = 3,975.38/x
  3. Step 3: Cross multiply
    5,571.56x = 7,684.19 × 3,975.38
  4. Step 4: Simplify right side
    5,571.56x = 30,547,555.37
  5. Step 5: Solve for x
    x = 30,547,555.37/5,571.56
  6. Step 6: Final answer
    x = 5,482.77

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Why These Related Problems?

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