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Finding the Fourth Proportional to 4,965.42, 7,448.16 and 2,041.68

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Solution

The fourth proportional to 4,965.42, 7,448.16 and 2,041.68 is: 3,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.42 : 7,448.16 = 2,041.68 : x
  2. Step 2: Convert to fraction form
    4,965.42/7,448.16 = 2,041.68/x
  3. Step 3: Cross multiply
    4,965.42x = 7,448.16 × 2,041.68
  4. Step 4: Simplify right side
    4,965.42x = 15,206,759.31
  5. Step 5: Solve for x
    x = 15,206,759.31/4,965.42
  6. Step 6: Final answer
    x = 3,062.53

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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.