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Finding the Fourth Proportional to 5,828.96, 8,729.47 and 3,192.51

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Solution

The fourth proportional to 5,828.96, 8,729.47 and 3,192.51 is: 4,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.96 : 8,729.47 = 3,192.51 : x
  2. Step 2: Convert to fraction form
    5,828.96/8,729.47 = 3,192.51/x
  3. Step 3: Cross multiply
    5,828.96x = 8,729.47 × 3,192.51
  4. Step 4: Simplify right side
    5,828.96x = 27,868,957.00
  5. Step 5: Solve for x
    x = 27,868,957.00/5,828.96
  6. Step 6: Final answer
    x = 4,781.12

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