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Finding the Fourth Proportional to 4,884.24, 7,315.02 and 4,847.82

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Solution

The fourth proportional to 4,884.24, 7,315.02 and 4,847.82 is: 7,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.24 : 7,315.02 = 4,847.82 : x
  2. Step 2: Convert to fraction form
    4,884.24/7,315.02 = 4,847.82/x
  3. Step 3: Cross multiply
    4,884.24x = 7,315.02 × 4,847.82
  4. Step 4: Simplify right side
    4,884.24x = 35,461,900.26
  5. Step 5: Solve for x
    x = 35,461,900.26/4,884.24
  6. Step 6: Final answer
    x = 7,260.47

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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.