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Finding the Fourth Proportional to 5,271.14, 7,907.24 and 1,523.01

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Solution

The fourth proportional to 5,271.14, 7,907.24 and 1,523.01 is: 2,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.14 : 7,907.24 = 1,523.01 : x
  2. Step 2: Convert to fraction form
    5,271.14/7,907.24 = 1,523.01/x
  3. Step 3: Cross multiply
    5,271.14x = 7,907.24 × 1,523.01
  4. Step 4: Simplify right side
    5,271.14x = 12,042,805.59
  5. Step 5: Solve for x
    x = 12,042,805.59/5,271.14
  6. Step 6: Final answer
    x = 2,284.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.