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Finding the Fourth Proportional to 5,405.50, 8,103.61 and 1,895.02

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Solution

The fourth proportional to 5,405.50, 8,103.61 and 1,895.02 is: 2,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.50 : 8,103.61 = 1,895.02 : x
  2. Step 2: Convert to fraction form
    5,405.50/8,103.61 = 1,895.02/x
  3. Step 3: Cross multiply
    5,405.50x = 8,103.61 × 1,895.02
  4. Step 4: Simplify right side
    5,405.50x = 15,356,503.02
  5. Step 5: Solve for x
    x = 15,356,503.02/5,405.50
  6. Step 6: Final answer
    x = 2,840.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.