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Finding the Fourth Proportional to 3,911.69, 5,399.06 and 2,421.09

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Solution

The fourth proportional to 3,911.69, 5,399.06 and 2,421.09 is: 3,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.69 : 5,399.06 = 2,421.09 : x
  2. Step 2: Convert to fraction form
    3,911.69/5,399.06 = 2,421.09/x
  3. Step 3: Cross multiply
    3,911.69x = 5,399.06 × 2,421.09
  4. Step 4: Simplify right side
    3,911.69x = 13,071,598.07
  5. Step 5: Solve for x
    x = 13,071,598.07/3,911.69
  6. Step 6: Final answer
    x = 3,341.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.