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Finding the Fourth Proportional to 4,968.24, 7,448.04 and 2,778

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Solution

The fourth proportional to 4,968.24, 7,448.04 and 2,778 is: 4,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.24 : 7,448.04 = 2,778 : x
  2. Step 2: Convert to fraction form
    4,968.24/7,448.04 = 2,778/x
  3. Step 3: Cross multiply
    4,968.24x = 7,448.04 × 2,778
  4. Step 4: Simplify right side
    4,968.24x = 20,690,655.12
  5. Step 5: Solve for x
    x = 20,690,655.12/4,968.24
  6. Step 6: Final answer
    x = 4,164.58

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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.