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Finding the Fourth Proportional to 5,271.68, 7,274.30 and 2,913.84

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Solution

The fourth proportional to 5,271.68, 7,274.30 and 2,913.84 is: 4,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.68 : 7,274.30 = 2,913.84 : x
  2. Step 2: Convert to fraction form
    5,271.68/7,274.30 = 2,913.84/x
  3. Step 3: Cross multiply
    5,271.68x = 7,274.30 × 2,913.84
  4. Step 4: Simplify right side
    5,271.68x = 21,196,146.31
  5. Step 5: Solve for x
    x = 21,196,146.31/5,271.68
  6. Step 6: Final answer
    x = 4,020.76

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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.