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Finding the Fourth Proportional to 5,192.46, 7,823.75 and 4,288.32

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Solution

The fourth proportional to 5,192.46, 7,823.75 and 4,288.32 is: 6,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.46 : 7,823.75 = 4,288.32 : x
  2. Step 2: Convert to fraction form
    5,192.46/7,823.75 = 4,288.32/x
  3. Step 3: Cross multiply
    5,192.46x = 7,823.75 × 4,288.32
  4. Step 4: Simplify right side
    5,192.46x = 33,550,722.16
  5. Step 5: Solve for x
    x = 33,550,722.16/5,192.46
  6. Step 6: Final answer
    x = 6,461.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.