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Finding the Fourth Proportional to 4,842.40, 7,266 and 1,920.64

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Solution

The fourth proportional to 4,842.40, 7,266 and 1,920.64 is: 2,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.40 : 7,266 = 1,920.64 : x
  2. Step 2: Convert to fraction form
    4,842.40/7,266 = 1,920.64/x
  3. Step 3: Cross multiply
    4,842.40x = 7,266 × 1,920.64
  4. Step 4: Simplify right side
    4,842.40x = 13,955,370.24
  5. Step 5: Solve for x
    x = 13,955,370.24/4,842.40
  6. Step 6: Final answer
    x = 2,881.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.