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Finding the Fourth Proportional to 5,794.51, 7,996.55 and 3,406.23

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Solution

The fourth proportional to 5,794.51, 7,996.55 and 3,406.23 is: 4,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.51 : 7,996.55 = 3,406.23 : x
  2. Step 2: Convert to fraction form
    5,794.51/7,996.55 = 3,406.23/x
  3. Step 3: Cross multiply
    5,794.51x = 7,996.55 × 3,406.23
  4. Step 4: Simplify right side
    5,794.51x = 27,238,088.51
  5. Step 5: Solve for x
    x = 27,238,088.51/5,794.51
  6. Step 6: Final answer
    x = 4,700.67

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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.