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Finding the Fourth Proportional to 4,684.14, 7,019.25 and 1,907.41

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Solution

The fourth proportional to 4,684.14, 7,019.25 and 1,907.41 is: 2,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.14 : 7,019.25 = 1,907.41 : x
  2. Step 2: Convert to fraction form
    4,684.14/7,019.25 = 1,907.41/x
  3. Step 3: Cross multiply
    4,684.14x = 7,019.25 × 1,907.41
  4. Step 4: Simplify right side
    4,684.14x = 13,388,587.64
  5. Step 5: Solve for x
    x = 13,388,587.64/4,684.14
  6. Step 6: Final answer
    x = 2,858.28

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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.