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Finding the Fourth Proportional to 5,271.46, 7,275.08 and 2,914.06

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Solution

The fourth proportional to 5,271.46, 7,275.08 and 2,914.06 is: 4,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.46 : 7,275.08 = 2,914.06 : x
  2. Step 2: Convert to fraction form
    5,271.46/7,275.08 = 2,914.06/x
  3. Step 3: Cross multiply
    5,271.46x = 7,275.08 × 2,914.06
  4. Step 4: Simplify right side
    5,271.46x = 21,200,019.62
  5. Step 5: Solve for x
    x = 21,200,019.62/5,271.46
  6. Step 6: Final answer
    x = 4,021.66

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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.