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Finding the Fourth Proportional to 5,478.94, 8,214.11 and 2,356.39

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Solution

The fourth proportional to 5,478.94, 8,214.11 and 2,356.39 is: 3,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.94 : 8,214.11 = 2,356.39 : x
  2. Step 2: Convert to fraction form
    5,478.94/8,214.11 = 2,356.39/x
  3. Step 3: Cross multiply
    5,478.94x = 8,214.11 × 2,356.39
  4. Step 4: Simplify right side
    5,478.94x = 19,355,653.99
  5. Step 5: Solve for x
    x = 19,355,653.99/5,478.94
  6. Step 6: Final answer
    x = 3,532.74

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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.