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Finding the Fourth Proportional to 4,805.27, 7,210.12 and 1,842.72

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Solution

The fourth proportional to 4,805.27, 7,210.12 and 1,842.72 is: 2,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.27 : 7,210.12 = 1,842.72 : x
  2. Step 2: Convert to fraction form
    4,805.27/7,210.12 = 1,842.72/x
  3. Step 3: Cross multiply
    4,805.27x = 7,210.12 × 1,842.72
  4. Step 4: Simplify right side
    4,805.27x = 13,286,196.28
  5. Step 5: Solve for x
    x = 13,286,196.28/4,805.27
  6. Step 6: Final answer
    x = 2,764.92

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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.