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Finding the Fourth Proportional to 5,802.96, 8,008.48 and 3,284.20

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Solution

The fourth proportional to 5,802.96, 8,008.48 and 3,284.20 is: 4,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.96 : 8,008.48 = 3,284.20 : x
  2. Step 2: Convert to fraction form
    5,802.96/8,008.48 = 3,284.20/x
  3. Step 3: Cross multiply
    5,802.96x = 8,008.48 × 3,284.20
  4. Step 4: Simplify right side
    5,802.96x = 26,301,450.02
  5. Step 5: Solve for x
    x = 26,301,450.02/5,802.96
  6. Step 6: Final answer
    x = 4,532.42

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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.