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Finding the Fourth Proportional to 4,135, 6,200.88 and 1,669.36

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Solution

The fourth proportional to 4,135, 6,200.88 and 1,669.36 is: 2,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135 : 6,200.88 = 1,669.36 : x
  2. Step 2: Convert to fraction form
    4,135/6,200.88 = 1,669.36/x
  3. Step 3: Cross multiply
    4,135x = 6,200.88 × 1,669.36
  4. Step 4: Simplify right side
    4,135x = 10,351,501.04
  5. Step 5: Solve for x
    x = 10,351,501.04/4,135
  6. Step 6: Final answer
    x = 2,503.39

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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.