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Finding the Fourth Proportional to 4,969.55, 6,857.01 and 3,200.90

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Solution

The fourth proportional to 4,969.55, 6,857.01 and 3,200.90 is: 4,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.55 : 6,857.01 = 3,200.90 : x
  2. Step 2: Convert to fraction form
    4,969.55/6,857.01 = 3,200.90/x
  3. Step 3: Cross multiply
    4,969.55x = 6,857.01 × 3,200.90
  4. Step 4: Simplify right side
    4,969.55x = 21,948,603.31
  5. Step 5: Solve for x
    x = 21,948,603.31/4,969.55
  6. Step 6: Final answer
    x = 4,416.62

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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.