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Finding the Fourth Proportional to 5,101.52, 7,651.40 and 1,814.13

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Solution

The fourth proportional to 5,101.52, 7,651.40 and 1,814.13 is: 2,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.52 : 7,651.40 = 1,814.13 : x
  2. Step 2: Convert to fraction form
    5,101.52/7,651.40 = 1,814.13/x
  3. Step 3: Cross multiply
    5,101.52x = 7,651.40 × 1,814.13
  4. Step 4: Simplify right side
    5,101.52x = 13,880,625.21
  5. Step 5: Solve for x
    x = 13,880,625.21/5,101.52
  6. Step 6: Final answer
    x = 2,720.88

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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.