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Finding the Fourth Proportional to 5,185.32, 7,769.18 and 3,129

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Solution

The fourth proportional to 5,185.32, 7,769.18 and 3,129 is: 4,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.32 : 7,769.18 = 3,129 : x
  2. Step 2: Convert to fraction form
    5,185.32/7,769.18 = 3,129/x
  3. Step 3: Cross multiply
    5,185.32x = 7,769.18 × 3,129
  4. Step 4: Simplify right side
    5,185.32x = 24,309,764.22
  5. Step 5: Solve for x
    x = 24,309,764.22/5,185.32
  6. Step 6: Final answer
    x = 4,688.19

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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.