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Finding the Fourth Proportional to 5,930.16, 8,185.04 and 4,651.44

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Solution

The fourth proportional to 5,930.16, 8,185.04 and 4,651.44 is: 6,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.16 : 8,185.04 = 4,651.44 : x
  2. Step 2: Convert to fraction form
    5,930.16/8,185.04 = 4,651.44/x
  3. Step 3: Cross multiply
    5,930.16x = 8,185.04 × 4,651.44
  4. Step 4: Simplify right side
    5,930.16x = 38,072,222.46
  5. Step 5: Solve for x
    x = 38,072,222.46/5,930.16
  6. Step 6: Final answer
    x = 6,420.10

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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.