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Finding the Fourth Proportional to 3,675.60, 5,507.73 and 2,746.80

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Solution

The fourth proportional to 3,675.60, 5,507.73 and 2,746.80 is: 4,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.60 : 5,507.73 = 2,746.80 : x
  2. Step 2: Convert to fraction form
    3,675.60/5,507.73 = 2,746.80/x
  3. Step 3: Cross multiply
    3,675.60x = 5,507.73 × 2,746.80
  4. Step 4: Simplify right side
    3,675.60x = 15,128,632.76
  5. Step 5: Solve for x
    x = 15,128,632.76/3,675.60
  6. Step 6: Final answer
    x = 4,115.96

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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.