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Finding the Fourth Proportional to 5,271.14, 7,274.16 and 2,913.30

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Solution

The fourth proportional to 5,271.14, 7,274.16 and 2,913.30 is: 4,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.14 : 7,274.16 = 2,913.30 : x
  2. Step 2: Convert to fraction form
    5,271.14/7,274.16 = 2,913.30/x
  3. Step 3: Cross multiply
    5,271.14x = 7,274.16 × 2,913.30
  4. Step 4: Simplify right side
    5,271.14x = 21,191,810.33
  5. Step 5: Solve for x
    x = 21,191,810.33/5,271.14
  6. Step 6: Final answer
    x = 4,020.35

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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.