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Finding the Fourth Proportional to 5,204.70, 7,807.05 and 3,461.04

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Solution

The fourth proportional to 5,204.70, 7,807.05 and 3,461.04 is: 5,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.70 : 7,807.05 = 3,461.04 : x
  2. Step 2: Convert to fraction form
    5,204.70/7,807.05 = 3,461.04/x
  3. Step 3: Cross multiply
    5,204.70x = 7,807.05 × 3,461.04
  4. Step 4: Simplify right side
    5,204.70x = 27,020,512.33
  5. Step 5: Solve for x
    x = 27,020,512.33/5,204.70
  6. Step 6: Final answer
    x = 5,191.56

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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.