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Finding the Fourth Proportional to 5,142.82, 7,097.08 and 2,905.17

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Solution

The fourth proportional to 5,142.82, 7,097.08 and 2,905.17 is: 4,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.82 : 7,097.08 = 2,905.17 : x
  2. Step 2: Convert to fraction form
    5,142.82/7,097.08 = 2,905.17/x
  3. Step 3: Cross multiply
    5,142.82x = 7,097.08 × 2,905.17
  4. Step 4: Simplify right side
    5,142.82x = 20,618,223.90
  5. Step 5: Solve for x
    x = 20,618,223.90/5,142.82
  6. Step 6: Final answer
    x = 4,009.13

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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.