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Finding the Fourth Proportional to 3,803.77, 5,706.66 and 1,612.57

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Solution

The fourth proportional to 3,803.77, 5,706.66 and 1,612.57 is: 2,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.77 : 5,706.66 = 1,612.57 : x
  2. Step 2: Convert to fraction form
    3,803.77/5,706.66 = 1,612.57/x
  3. Step 3: Cross multiply
    3,803.77x = 5,706.66 × 1,612.57
  4. Step 4: Simplify right side
    3,803.77x = 9,202,388.72
  5. Step 5: Solve for x
    x = 9,202,388.72/3,803.77
  6. Step 6: Final answer
    x = 2,419.28

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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.