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Finding the Fourth Proportional to 3,244.39, 4,476.53 and 1,828.01

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Solution

The fourth proportional to 3,244.39, 4,476.53 and 1,828.01 is: 2,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.39 : 4,476.53 = 1,828.01 : x
  2. Step 2: Convert to fraction form
    3,244.39/4,476.53 = 1,828.01/x
  3. Step 3: Cross multiply
    3,244.39x = 4,476.53 × 1,828.01
  4. Step 4: Simplify right side
    3,244.39x = 8,183,141.61
  5. Step 5: Solve for x
    x = 8,183,141.61/3,244.39
  6. Step 6: Final answer
    x = 2,522.24

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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.