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Finding the Fourth Proportional to 5,130.69, 7,696.32 and 1,620.81

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Solution

The fourth proportional to 5,130.69, 7,696.32 and 1,620.81 is: 2,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.69 : 7,696.32 = 1,620.81 : x
  2. Step 2: Convert to fraction form
    5,130.69/7,696.32 = 1,620.81/x
  3. Step 3: Cross multiply
    5,130.69x = 7,696.32 × 1,620.81
  4. Step 4: Simplify right side
    5,130.69x = 12,474,272.42
  5. Step 5: Solve for x
    x = 12,474,272.42/5,130.69
  6. Step 6: Final answer
    x = 2,431.31

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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.