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Finding the Fourth Proportional to 4,764.55, 7,148.04 and 1,842.07

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Solution

The fourth proportional to 4,764.55, 7,148.04 and 1,842.07 is: 2,763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.55 : 7,148.04 = 1,842.07 : x
  2. Step 2: Convert to fraction form
    4,764.55/7,148.04 = 1,842.07/x
  3. Step 3: Cross multiply
    4,764.55x = 7,148.04 × 1,842.07
  4. Step 4: Simplify right side
    4,764.55x = 13,167,190.04
  5. Step 5: Solve for x
    x = 13,167,190.04/4,764.55
  6. Step 6: Final answer
    x = 2,763.57

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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.