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Finding the Fourth Proportional to 4,169.64, 5,751.28 and 2,598.48

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Solution

The fourth proportional to 4,169.64, 5,751.28 and 2,598.48 is: 3,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.64 : 5,751.28 = 2,598.48 : x
  2. Step 2: Convert to fraction form
    4,169.64/5,751.28 = 2,598.48/x
  3. Step 3: Cross multiply
    4,169.64x = 5,751.28 × 2,598.48
  4. Step 4: Simplify right side
    4,169.64x = 14,944,586.05
  5. Step 5: Solve for x
    x = 14,944,586.05/4,169.64
  6. Step 6: Final answer
    x = 3,584.14

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