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Finding the Fourth Proportional to 5,924.39, 8,172.23 and 3,828.51

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Solution

The fourth proportional to 5,924.39, 8,172.23 and 3,828.51 is: 5,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.39 : 8,172.23 = 3,828.51 : x
  2. Step 2: Convert to fraction form
    5,924.39/8,172.23 = 3,828.51/x
  3. Step 3: Cross multiply
    5,924.39x = 8,172.23 × 3,828.51
  4. Step 4: Simplify right side
    5,924.39x = 31,287,445.13
  5. Step 5: Solve for x
    x = 31,287,445.13/5,924.39
  6. Step 6: Final answer
    x = 5,281.13

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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.