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Finding the Fourth Proportional to 5,802.56, 8,007.84 and 3,285.23

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Solution

The fourth proportional to 5,802.56, 8,007.84 and 3,285.23 is: 4,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.56 : 8,007.84 = 3,285.23 : x
  2. Step 2: Convert to fraction form
    5,802.56/8,007.84 = 3,285.23/x
  3. Step 3: Cross multiply
    5,802.56x = 8,007.84 × 3,285.23
  4. Step 4: Simplify right side
    5,802.56x = 26,307,596.20
  5. Step 5: Solve for x
    x = 26,307,596.20/5,802.56
  6. Step 6: Final answer
    x = 4,533.79

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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.