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Finding the Fourth Proportional to 5,684.85, 7,847.93 and 4,405.86

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Solution

The fourth proportional to 5,684.85, 7,847.93 and 4,405.86 is: 6,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.85 : 7,847.93 = 4,405.86 : x
  2. Step 2: Convert to fraction form
    5,684.85/7,847.93 = 4,405.86/x
  3. Step 3: Cross multiply
    5,684.85x = 7,847.93 × 4,405.86
  4. Step 4: Simplify right side
    5,684.85x = 34,576,858.84
  5. Step 5: Solve for x
    x = 34,576,858.84/5,684.85
  6. Step 6: Final answer
    x = 6,082.28

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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.