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Finding the Fourth Proportional to 4,712.06, 6,495.20 and 3,764.87

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Solution

The fourth proportional to 4,712.06, 6,495.20 and 3,764.87 is: 5,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.06 : 6,495.20 = 3,764.87 : x
  2. Step 2: Convert to fraction form
    4,712.06/6,495.20 = 3,764.87/x
  3. Step 3: Cross multiply
    4,712.06x = 6,495.20 × 3,764.87
  4. Step 4: Simplify right side
    4,712.06x = 24,453,583.62
  5. Step 5: Solve for x
    x = 24,453,583.62/4,712.06
  6. Step 6: Final answer
    x = 5,189.57

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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.