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Finding the Fourth Proportional to 4,738.14, 7,089.39 and 3,280.14

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Solution

The fourth proportional to 4,738.14, 7,089.39 and 3,280.14 is: 4,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.14 : 7,089.39 = 3,280.14 : x
  2. Step 2: Convert to fraction form
    4,738.14/7,089.39 = 3,280.14/x
  3. Step 3: Cross multiply
    4,738.14x = 7,089.39 × 3,280.14
  4. Step 4: Simplify right side
    4,738.14x = 23,254,191.71
  5. Step 5: Solve for x
    x = 23,254,191.71/4,738.14
  6. Step 6: Final answer
    x = 4,907.87

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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.