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Finding the Fourth Proportional to 4,156.89, 6,235.19 and 1,235.12

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Solution

The fourth proportional to 4,156.89, 6,235.19 and 1,235.12 is: 1,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.89 : 6,235.19 = 1,235.12 : x
  2. Step 2: Convert to fraction form
    4,156.89/6,235.19 = 1,235.12/x
  3. Step 3: Cross multiply
    4,156.89x = 6,235.19 × 1,235.12
  4. Step 4: Simplify right side
    4,156.89x = 7,701,229.50
  5. Step 5: Solve for x
    x = 7,701,229.50/4,156.89
  6. Step 6: Final answer
    x = 1,852.64

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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.