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Finding the Fourth Proportional to 3,814.68, 5,711.72 and 2,495.16

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Solution

The fourth proportional to 3,814.68, 5,711.72 and 2,495.16 is: 3,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.68 : 5,711.72 = 2,495.16 : x
  2. Step 2: Convert to fraction form
    3,814.68/5,711.72 = 2,495.16/x
  3. Step 3: Cross multiply
    3,814.68x = 5,711.72 × 2,495.16
  4. Step 4: Simplify right side
    3,814.68x = 14,251,655.28
  5. Step 5: Solve for x
    x = 14,251,655.28/3,814.68
  6. Step 6: Final answer
    x = 3,736.00

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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.