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Finding the Fourth Proportional to 5,684.33, 8,521.26 and 5,217.32

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Solution

The fourth proportional to 5,684.33, 8,521.26 and 5,217.32 is: 7,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.33 : 8,521.26 = 5,217.32 : x
  2. Step 2: Convert to fraction form
    5,684.33/8,521.26 = 5,217.32/x
  3. Step 3: Cross multiply
    5,684.33x = 8,521.26 × 5,217.32
  4. Step 4: Simplify right side
    5,684.33x = 44,458,094.03
  5. Step 5: Solve for x
    x = 44,458,094.03/5,684.33
  6. Step 6: Final answer
    x = 7,821.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.