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Finding the Fourth Proportional to 4,097.09, 5,653.32 and 2,328.32

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Solution

The fourth proportional to 4,097.09, 5,653.32 and 2,328.32 is: 3,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.09 : 5,653.32 = 2,328.32 : x
  2. Step 2: Convert to fraction form
    4,097.09/5,653.32 = 2,328.32/x
  3. Step 3: Cross multiply
    4,097.09x = 5,653.32 × 2,328.32
  4. Step 4: Simplify right side
    4,097.09x = 13,162,738.02
  5. Step 5: Solve for x
    x = 13,162,738.02/4,097.09
  6. Step 6: Final answer
    x = 3,212.70

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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.