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Finding the Fourth Proportional to 5,271.85, 7,275.07 and 2,914.03

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Solution

The fourth proportional to 5,271.85, 7,275.07 and 2,914.03 is: 4,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.85 : 7,275.07 = 2,914.03 : x
  2. Step 2: Convert to fraction form
    5,271.85/7,275.07 = 2,914.03/x
  3. Step 3: Cross multiply
    5,271.85x = 7,275.07 × 2,914.03
  4. Step 4: Simplify right side
    5,271.85x = 21,199,772.23
  5. Step 5: Solve for x
    x = 21,199,772.23/5,271.85
  6. Step 6: Final answer
    x = 4,021.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.