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Finding the Fourth Proportional to 3,827.63, 5,741.40 and 1,230.50

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Solution

The fourth proportional to 3,827.63, 5,741.40 and 1,230.50 is: 1,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.63 : 5,741.40 = 1,230.50 : x
  2. Step 2: Convert to fraction form
    3,827.63/5,741.40 = 1,230.50/x
  3. Step 3: Cross multiply
    3,827.63x = 5,741.40 × 1,230.50
  4. Step 4: Simplify right side
    3,827.63x = 7,064,792.70
  5. Step 5: Solve for x
    x = 7,064,792.70/3,827.63
  6. Step 6: Final answer
    x = 1,845.74

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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.