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Finding the Fourth Proportional to 3,798.64, 5,699.12 and 2,299.36

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Solution

The fourth proportional to 3,798.64, 5,699.12 and 2,299.36 is: 3,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.64 : 5,699.12 = 2,299.36 : x
  2. Step 2: Convert to fraction form
    3,798.64/5,699.12 = 2,299.36/x
  3. Step 3: Cross multiply
    3,798.64x = 5,699.12 × 2,299.36
  4. Step 4: Simplify right side
    3,798.64x = 13,104,328.56
  5. Step 5: Solve for x
    x = 13,104,328.56/3,798.64
  6. Step 6: Final answer
    x = 3,449.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.