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Finding the Fourth Proportional to 5,165.41, 7,129.95 and 3,040.91

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Solution

The fourth proportional to 5,165.41, 7,129.95 and 3,040.91 is: 4,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.41 : 7,129.95 = 3,040.91 : x
  2. Step 2: Convert to fraction form
    5,165.41/7,129.95 = 3,040.91/x
  3. Step 3: Cross multiply
    5,165.41x = 7,129.95 × 3,040.91
  4. Step 4: Simplify right side
    5,165.41x = 21,681,536.25
  5. Step 5: Solve for x
    x = 21,681,536.25/5,165.41
  6. Step 6: Final answer
    x = 4,197.45

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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.