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Finding the Fourth Proportional to 5,335.45, 8,004.53 and 2,048.78

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Solution

The fourth proportional to 5,335.45, 8,004.53 and 2,048.78 is: 3,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.45 : 8,004.53 = 2,048.78 : x
  2. Step 2: Convert to fraction form
    5,335.45/8,004.53 = 2,048.78/x
  3. Step 3: Cross multiply
    5,335.45x = 8,004.53 × 2,048.78
  4. Step 4: Simplify right side
    5,335.45x = 16,399,546.11
  5. Step 5: Solve for x
    x = 16,399,546.11/5,335.45
  6. Step 6: Final answer
    x = 3,073.70

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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.