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Finding the Fourth Proportional to 3,735.93, 5,588.78 and 3,120.87

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Solution

The fourth proportional to 3,735.93, 5,588.78 and 3,120.87 is: 4,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.93 : 5,588.78 = 3,120.87 : x
  2. Step 2: Convert to fraction form
    3,735.93/5,588.78 = 3,120.87/x
  3. Step 3: Cross multiply
    3,735.93x = 5,588.78 × 3,120.87
  4. Step 4: Simplify right side
    3,735.93x = 17,441,840.23
  5. Step 5: Solve for x
    x = 17,441,840.23/3,735.93
  6. Step 6: Final answer
    x = 4,668.67

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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.