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Finding the Fourth Proportional to 5,276.60, 7,913.82 and 1,814.12

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Solution

The fourth proportional to 5,276.60, 7,913.82 and 1,814.12 is: 2,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.60 : 7,913.82 = 1,814.12 : x
  2. Step 2: Convert to fraction form
    5,276.60/7,913.82 = 1,814.12/x
  3. Step 3: Cross multiply
    5,276.60x = 7,913.82 × 1,814.12
  4. Step 4: Simplify right side
    5,276.60x = 14,356,619.14
  5. Step 5: Solve for x
    x = 14,356,619.14/5,276.60
  6. Step 6: Final answer
    x = 2,720.81

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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.