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Finding the Fourth Proportional to 5,175.29, 7,142.07 and 2,907.03

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Solution

The fourth proportional to 5,175.29, 7,142.07 and 2,907.03 is: 4,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.29 : 7,142.07 = 2,907.03 : x
  2. Step 2: Convert to fraction form
    5,175.29/7,142.07 = 2,907.03/x
  3. Step 3: Cross multiply
    5,175.29x = 7,142.07 × 2,907.03
  4. Step 4: Simplify right side
    5,175.29x = 20,762,209.26
  5. Step 5: Solve for x
    x = 20,762,209.26/5,175.29
  6. Step 6: Final answer
    x = 4,011.80

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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.