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Finding the Fourth Proportional to 4,592.16, 6,884.16 and 3,420.75

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Solution

The fourth proportional to 4,592.16, 6,884.16 and 3,420.75 is: 5,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.16 : 6,884.16 = 3,420.75 : x
  2. Step 2: Convert to fraction form
    4,592.16/6,884.16 = 3,420.75/x
  3. Step 3: Cross multiply
    4,592.16x = 6,884.16 × 3,420.75
  4. Step 4: Simplify right side
    4,592.16x = 23,548,990.32
  5. Step 5: Solve for x
    x = 23,548,990.32/4,592.16
  6. Step 6: Final answer
    x = 5,128.09

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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.