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Finding the Fourth Proportional to 4,748.24, 7,121.88 and 1,670

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Solution

The fourth proportional to 4,748.24, 7,121.88 and 1,670 is: 2,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.24 : 7,121.88 = 1,670 : x
  2. Step 2: Convert to fraction form
    4,748.24/7,121.88 = 1,670/x
  3. Step 3: Cross multiply
    4,748.24x = 7,121.88 × 1,670
  4. Step 4: Simplify right side
    4,748.24x = 11,893,539.60
  5. Step 5: Solve for x
    x = 11,893,539.60/4,748.24
  6. Step 6: Final answer
    x = 2,504.83

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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.