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Finding the Fourth Proportional to 3,803.63, 5,706.12 and 1,205.96

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Solution

The fourth proportional to 3,803.63, 5,706.12 and 1,205.96 is: 1,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.63 : 5,706.12 = 1,205.96 : x
  2. Step 2: Convert to fraction form
    3,803.63/5,706.12 = 1,205.96/x
  3. Step 3: Cross multiply
    3,803.63x = 5,706.12 × 1,205.96
  4. Step 4: Simplify right side
    3,803.63x = 6,881,352.48
  5. Step 5: Solve for x
    x = 6,881,352.48/3,803.63
  6. Step 6: Final answer
    x = 1,809.15

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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.