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Finding the Fourth Proportional to 5,728.25, 7,905.08 and 3,210.92

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Solution

The fourth proportional to 5,728.25, 7,905.08 and 3,210.92 is: 4,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.25 : 7,905.08 = 3,210.92 : x
  2. Step 2: Convert to fraction form
    5,728.25/7,905.08 = 3,210.92/x
  3. Step 3: Cross multiply
    5,728.25x = 7,905.08 × 3,210.92
  4. Step 4: Simplify right side
    5,728.25x = 25,382,543.66
  5. Step 5: Solve for x
    x = 25,382,543.66/5,728.25
  6. Step 6: Final answer
    x = 4,431.12

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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.