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Finding the Fourth Proportional to 5,143.34, 7,097.78 and 2,905.94

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Solution

The fourth proportional to 5,143.34, 7,097.78 and 2,905.94 is: 4,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.34 : 7,097.78 = 2,905.94 : x
  2. Step 2: Convert to fraction form
    5,143.34/7,097.78 = 2,905.94/x
  3. Step 3: Cross multiply
    5,143.34x = 7,097.78 × 2,905.94
  4. Step 4: Simplify right side
    5,143.34x = 20,625,747.82
  5. Step 5: Solve for x
    x = 20,625,747.82/5,143.34
  6. Step 6: Final answer
    x = 4,010.18

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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.