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Finding the Fourth Proportional to 5,011.67, 7,503.64 and 3,775.41

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Solution

The fourth proportional to 5,011.67, 7,503.64 and 3,775.41 is: 5,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.67 : 7,503.64 = 3,775.41 : x
  2. Step 2: Convert to fraction form
    5,011.67/7,503.64 = 3,775.41/x
  3. Step 3: Cross multiply
    5,011.67x = 7,503.64 × 3,775.41
  4. Step 4: Simplify right side
    5,011.67x = 28,329,308.05
  5. Step 5: Solve for x
    x = 28,329,308.05/5,011.67
  6. Step 6: Final answer
    x = 5,652.67

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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.