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Finding the Fourth Proportional to 4,842.72, 7,258.68 and 1,920.24

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Solution

The fourth proportional to 4,842.72, 7,258.68 and 1,920.24 is: 2,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.72 : 7,258.68 = 1,920.24 : x
  2. Step 2: Convert to fraction form
    4,842.72/7,258.68 = 1,920.24/x
  3. Step 3: Cross multiply
    4,842.72x = 7,258.68 × 1,920.24
  4. Step 4: Simplify right side
    4,842.72x = 13,938,407.68
  5. Step 5: Solve for x
    x = 13,938,407.68/4,842.72
  6. Step 6: Final answer
    x = 2,878.22

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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.