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Finding the Fourth Proportional to 3,741.84, 5,604.26 and 2,277.77

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Solution

The fourth proportional to 3,741.84, 5,604.26 and 2,277.77 is: 3,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.84 : 5,604.26 = 2,277.77 : x
  2. Step 2: Convert to fraction form
    3,741.84/5,604.26 = 2,277.77/x
  3. Step 3: Cross multiply
    3,741.84x = 5,604.26 × 2,277.77
  4. Step 4: Simplify right side
    3,741.84x = 12,765,175.89
  5. Step 5: Solve for x
    x = 12,765,175.89/3,741.84
  6. Step 6: Final answer
    x = 3,411.47

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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.