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Finding the Fourth Proportional to 5,794.96, 7,999.64 and 4,117.68

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Solution

The fourth proportional to 5,794.96, 7,999.64 and 4,117.68 is: 5,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.96 : 7,999.64 = 4,117.68 : x
  2. Step 2: Convert to fraction form
    5,794.96/7,999.64 = 4,117.68/x
  3. Step 3: Cross multiply
    5,794.96x = 7,999.64 × 4,117.68
  4. Step 4: Simplify right side
    5,794.96x = 32,939,957.64
  5. Step 5: Solve for x
    x = 32,939,957.64/5,794.96
  6. Step 6: Final answer
    x = 5,684.24

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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.