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Finding the Fourth Proportional to 4,767.14, 7,148.19 and 1,842.50

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Solution

The fourth proportional to 4,767.14, 7,148.19 and 1,842.50 is: 2,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.14 : 7,148.19 = 1,842.50 : x
  2. Step 2: Convert to fraction form
    4,767.14/7,148.19 = 1,842.50/x
  3. Step 3: Cross multiply
    4,767.14x = 7,148.19 × 1,842.50
  4. Step 4: Simplify right side
    4,767.14x = 13,170,540.08
  5. Step 5: Solve for x
    x = 13,170,540.08/4,767.14
  6. Step 6: Final answer
    x = 2,762.78

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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.