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Finding the Fourth Proportional to 5,271.76, 7,907.35 and 2,674.63

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Solution

The fourth proportional to 5,271.76, 7,907.35 and 2,674.63 is: 4,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.76 : 7,907.35 = 2,674.63 : x
  2. Step 2: Convert to fraction form
    5,271.76/7,907.35 = 2,674.63/x
  3. Step 3: Cross multiply
    5,271.76x = 7,907.35 × 2,674.63
  4. Step 4: Simplify right side
    5,271.76x = 21,149,235.53
  5. Step 5: Solve for x
    x = 21,149,235.53/5,271.76
  6. Step 6: Final answer
    x = 4,011.80

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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.