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Finding the Fourth Proportional to 4,065, 6,096.15 and 1,842.45

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Solution

The fourth proportional to 4,065, 6,096.15 and 1,842.45 is: 2,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065 : 6,096.15 = 1,842.45 : x
  2. Step 2: Convert to fraction form
    4,065/6,096.15 = 1,842.45/x
  3. Step 3: Cross multiply
    4,065x = 6,096.15 × 1,842.45
  4. Step 4: Simplify right side
    4,065x = 11,231,851.57
  5. Step 5: Solve for x
    x = 11,231,851.57/4,065
  6. Step 6: Final answer
    x = 2,763.06

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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.