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Finding the Fourth Proportional to 3,485.84, 4,796.02 and 3,044.80

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Solution

The fourth proportional to 3,485.84, 4,796.02 and 3,044.80 is: 4,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.84 : 4,796.02 = 3,044.80 : x
  2. Step 2: Convert to fraction form
    3,485.84/4,796.02 = 3,044.80/x
  3. Step 3: Cross multiply
    3,485.84x = 4,796.02 × 3,044.80
  4. Step 4: Simplify right side
    3,485.84x = 14,602,921.70
  5. Step 5: Solve for x
    x = 14,602,921.70/3,485.84
  6. Step 6: Final answer
    x = 4,189.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.