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Finding the Fourth Proportional to 3,709.41, 5,564.12 and 1,112.35

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Solution

The fourth proportional to 3,709.41, 5,564.12 and 1,112.35 is: 1,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.41 : 5,564.12 = 1,112.35 : x
  2. Step 2: Convert to fraction form
    3,709.41/5,564.12 = 1,112.35/x
  3. Step 3: Cross multiply
    3,709.41x = 5,564.12 × 1,112.35
  4. Step 4: Simplify right side
    3,709.41x = 6,189,248.88
  5. Step 5: Solve for x
    x = 6,189,248.88/3,709.41
  6. Step 6: Final answer
    x = 1,668.53

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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.