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Finding the Fourth Proportional to 5,364.85, 8,048.49 and 1,902.10

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Solution

The fourth proportional to 5,364.85, 8,048.49 and 1,902.10 is: 2,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.85 : 8,048.49 = 1,902.10 : x
  2. Step 2: Convert to fraction form
    5,364.85/8,048.49 = 1,902.10/x
  3. Step 3: Cross multiply
    5,364.85x = 8,048.49 × 1,902.10
  4. Step 4: Simplify right side
    5,364.85x = 15,309,032.83
  5. Step 5: Solve for x
    x = 15,309,032.83/5,364.85
  6. Step 6: Final answer
    x = 2,853.58

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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.