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Finding the Fourth Proportional to 5,271.78, 7,866.74 and 4,571.94

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Solution

The fourth proportional to 5,271.78, 7,866.74 and 4,571.94 is: 6,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.78 : 7,866.74 = 4,571.94 : x
  2. Step 2: Convert to fraction form
    5,271.78/7,866.74 = 4,571.94/x
  3. Step 3: Cross multiply
    5,271.78x = 7,866.74 × 4,571.94
  4. Step 4: Simplify right side
    5,271.78x = 35,966,240.42
  5. Step 5: Solve for x
    x = 35,966,240.42/5,271.78
  6. Step 6: Final answer
    x = 6,822.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.