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Finding the Fourth Proportional to 5,802.69, 8,007.75 and 3,284.90

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Solution

The fourth proportional to 5,802.69, 8,007.75 and 3,284.90 is: 4,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.69 : 8,007.75 = 3,284.90 : x
  2. Step 2: Convert to fraction form
    5,802.69/8,007.75 = 3,284.90/x
  3. Step 3: Cross multiply
    5,802.69x = 8,007.75 × 3,284.90
  4. Step 4: Simplify right side
    5,802.69x = 26,304,657.98
  5. Step 5: Solve for x
    x = 26,304,657.98/5,802.69
  6. Step 6: Final answer
    x = 4,533.18

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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.