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Finding the Fourth Proportional to 4,842.16, 7,258.86 and 1,763.44

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Solution

The fourth proportional to 4,842.16, 7,258.86 and 1,763.44 is: 2,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.16 : 7,258.86 = 1,763.44 : x
  2. Step 2: Convert to fraction form
    4,842.16/7,258.86 = 1,763.44/x
  3. Step 3: Cross multiply
    4,842.16x = 7,258.86 × 1,763.44
  4. Step 4: Simplify right side
    4,842.16x = 12,800,564.08
  5. Step 5: Solve for x
    x = 12,800,564.08/4,842.16
  6. Step 6: Final answer
    x = 2,643.56

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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.