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Finding the Fourth Proportional to 5,343.51, 8,016.18 and 1,645.67

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Solution

The fourth proportional to 5,343.51, 8,016.18 and 1,645.67 is: 2,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.51 : 8,016.18 = 1,645.67 : x
  2. Step 2: Convert to fraction form
    5,343.51/8,016.18 = 1,645.67/x
  3. Step 3: Cross multiply
    5,343.51x = 8,016.18 × 1,645.67
  4. Step 4: Simplify right side
    5,343.51x = 13,191,946.86
  5. Step 5: Solve for x
    x = 13,191,946.86/5,343.51
  6. Step 6: Final answer
    x = 2,468.78

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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.