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Finding the Fourth Proportional to 5,271.50, 7,274.67 and 3,176.06

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Solution

The fourth proportional to 5,271.50, 7,274.67 and 3,176.06 is: 4,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.50 : 7,274.67 = 3,176.06 : x
  2. Step 2: Convert to fraction form
    5,271.50/7,274.67 = 3,176.06/x
  3. Step 3: Cross multiply
    5,271.50x = 7,274.67 × 3,176.06
  4. Step 4: Simplify right side
    5,271.50x = 23,104,788.40
  5. Step 5: Solve for x
    x = 23,104,788.40/5,271.50
  6. Step 6: Final answer
    x = 4,382.96

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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.