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Finding the Fourth Proportional to 4,614.94, 6,907.35 and 3,513.22

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Solution

The fourth proportional to 4,614.94, 6,907.35 and 3,513.22 is: 5,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.94 : 6,907.35 = 3,513.22 : x
  2. Step 2: Convert to fraction form
    4,614.94/6,907.35 = 3,513.22/x
  3. Step 3: Cross multiply
    4,614.94x = 6,907.35 × 3,513.22
  4. Step 4: Simplify right side
    4,614.94x = 24,267,040.17
  5. Step 5: Solve for x
    x = 24,267,040.17/4,614.94
  6. Step 6: Final answer
    x = 5,258.37

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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.