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Finding the Fourth Proportional to 5,271.24, 7,271.64 and 4,896

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Solution

The fourth proportional to 5,271.24, 7,271.64 and 4,896 is: 6,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.24 : 7,271.64 = 4,896 : x
  2. Step 2: Convert to fraction form
    5,271.24/7,271.64 = 4,896/x
  3. Step 3: Cross multiply
    5,271.24x = 7,271.64 × 4,896
  4. Step 4: Simplify right side
    5,271.24x = 35,601,949.44
  5. Step 5: Solve for x
    x = 35,601,949.44/5,271.24
  6. Step 6: Final answer
    x = 6,754.00

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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.