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Finding the Fourth Proportional to 5,802.32, 8,007.44 and 3,284.16

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Solution

The fourth proportional to 5,802.32, 8,007.44 and 3,284.16 is: 4,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.32 : 8,007.44 = 3,284.16 : x
  2. Step 2: Convert to fraction form
    5,802.32/8,007.44 = 3,284.16/x
  3. Step 3: Cross multiply
    5,802.32x = 8,007.44 × 3,284.16
  4. Step 4: Simplify right side
    5,802.32x = 26,297,714.15
  5. Step 5: Solve for x
    x = 26,297,714.15/5,802.32
  6. Step 6: Final answer
    x = 4,532.28

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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.