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Finding the Fourth Proportional to 5,129.49, 7,696.17 and 2,011.72

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Solution

The fourth proportional to 5,129.49, 7,696.17 and 2,011.72 is: 3,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.49 : 7,696.17 = 2,011.72 : x
  2. Step 2: Convert to fraction form
    5,129.49/7,696.17 = 2,011.72/x
  3. Step 3: Cross multiply
    5,129.49x = 7,696.17 × 2,011.72
  4. Step 4: Simplify right side
    5,129.49x = 15,482,539.11
  5. Step 5: Solve for x
    x = 15,482,539.11/5,129.49
  6. Step 6: Final answer
    x = 3,018.34

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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.