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Finding the Fourth Proportional to 4,668.12, 7,000.14 and 1,381.44

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Solution

The fourth proportional to 4,668.12, 7,000.14 and 1,381.44 is: 2,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.12 : 7,000.14 = 1,381.44 : x
  2. Step 2: Convert to fraction form
    4,668.12/7,000.14 = 1,381.44/x
  3. Step 3: Cross multiply
    4,668.12x = 7,000.14 × 1,381.44
  4. Step 4: Simplify right side
    4,668.12x = 9,670,273.40
  5. Step 5: Solve for x
    x = 9,670,273.40/4,668.12
  6. Step 6: Final answer
    x = 2,071.56

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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.