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Finding the Fourth Proportional to 4,842.13, 7,266.03 and 1,920.07

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Solution

The fourth proportional to 4,842.13, 7,266.03 and 1,920.07 is: 2,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.13 : 7,266.03 = 1,920.07 : x
  2. Step 2: Convert to fraction form
    4,842.13/7,266.03 = 1,920.07/x
  3. Step 3: Cross multiply
    4,842.13x = 7,266.03 × 1,920.07
  4. Step 4: Simplify right side
    4,842.13x = 13,951,286.22
  5. Step 5: Solve for x
    x = 13,951,286.22/4,842.13
  6. Step 6: Final answer
    x = 2,881.23

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1.5x scale

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.