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Finding the Fourth Proportional to 5,048.40, 7,570.92 and 2,449.68

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Solution

The fourth proportional to 5,048.40, 7,570.92 and 2,449.68 is: 3,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.40 : 7,570.92 = 2,449.68 : x
  2. Step 2: Convert to fraction form
    5,048.40/7,570.92 = 2,449.68/x
  3. Step 3: Cross multiply
    5,048.40x = 7,570.92 × 2,449.68
  4. Step 4: Simplify right side
    5,048.40x = 18,546,331.31
  5. Step 5: Solve for x
    x = 18,546,331.31/5,048.40
  6. Step 6: Final answer
    x = 3,673.70

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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.