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Finding the Fourth Proportional to 4,507.84, 6,763.56 and 1,735.80

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Solution

The fourth proportional to 4,507.84, 6,763.56 and 1,735.80 is: 2,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.84 : 6,763.56 = 1,735.80 : x
  2. Step 2: Convert to fraction form
    4,507.84/6,763.56 = 1,735.80/x
  3. Step 3: Cross multiply
    4,507.84x = 6,763.56 × 1,735.80
  4. Step 4: Simplify right side
    4,507.84x = 11,740,187.45
  5. Step 5: Solve for x
    x = 11,740,187.45/4,507.84
  6. Step 6: Final answer
    x = 2,604.39

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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.