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Finding the Fourth Proportional to 3,798.64, 5,240.68 and 2,305.99

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Solution

The fourth proportional to 3,798.64, 5,240.68 and 2,305.99 is: 3,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.64 : 5,240.68 = 2,305.99 : x
  2. Step 2: Convert to fraction form
    3,798.64/5,240.68 = 2,305.99/x
  3. Step 3: Cross multiply
    3,798.64x = 5,240.68 × 2,305.99
  4. Step 4: Simplify right side
    3,798.64x = 12,084,955.67
  5. Step 5: Solve for x
    x = 12,084,955.67/3,798.64
  6. Step 6: Final answer
    x = 3,181.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.