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Finding the Fourth Proportional to 4,606.84, 6,912.30 and 2,415.05

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Solution

The fourth proportional to 4,606.84, 6,912.30 and 2,415.05 is: 3,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.84 : 6,912.30 = 2,415.05 : x
  2. Step 2: Convert to fraction form
    4,606.84/6,912.30 = 2,415.05/x
  3. Step 3: Cross multiply
    4,606.84x = 6,912.30 × 2,415.05
  4. Step 4: Simplify right side
    4,606.84x = 16,693,515.55
  5. Step 5: Solve for x
    x = 16,693,515.55/4,606.84
  6. Step 6: Final answer
    x = 3,623.64

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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.