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Finding the Fourth Proportional to 4,965.24, 7,448.28 and 2,043

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Solution

The fourth proportional to 4,965.24, 7,448.28 and 2,043 is: 3,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.24 : 7,448.28 = 2,043 : x
  2. Step 2: Convert to fraction form
    4,965.24/7,448.28 = 2,043/x
  3. Step 3: Cross multiply
    4,965.24x = 7,448.28 × 2,043
  4. Step 4: Simplify right side
    4,965.24x = 15,216,836.04
  5. Step 5: Solve for x
    x = 15,216,836.04/4,965.24
  6. Step 6: Final answer
    x = 3,064.67

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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.