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Finding the Fourth Proportional to 3,575, 5,365.38 and 1,844.12

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Solution

The fourth proportional to 3,575, 5,365.38 and 1,844.12 is: 2,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575 : 5,365.38 = 1,844.12 : x
  2. Step 2: Convert to fraction form
    3,575/5,365.38 = 1,844.12/x
  3. Step 3: Cross multiply
    3,575x = 5,365.38 × 1,844.12
  4. Step 4: Simplify right side
    3,575x = 9,894,404.57
  5. Step 5: Solve for x
    x = 9,894,404.57/3,575
  6. Step 6: Final answer
    x = 2,767.67

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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.