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Finding the Fourth Proportional to 3,706.96, 5,561.88 and 1,400.08

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Solution

The fourth proportional to 3,706.96, 5,561.88 and 1,400.08 is: 2,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.96 : 5,561.88 = 1,400.08 : x
  2. Step 2: Convert to fraction form
    3,706.96/5,561.88 = 1,400.08/x
  3. Step 3: Cross multiply
    3,706.96x = 5,561.88 × 1,400.08
  4. Step 4: Simplify right side
    3,706.96x = 7,787,076.95
  5. Step 5: Solve for x
    x = 7,787,076.95/3,706.96
  6. Step 6: Final answer
    x = 2,100.66

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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.