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Finding the Fourth Proportional to 5,165.85, 7,129.08 and 2,928

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Solution

The fourth proportional to 5,165.85, 7,129.08 and 2,928 is: 4,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.85 : 7,129.08 = 2,928 : x
  2. Step 2: Convert to fraction form
    5,165.85/7,129.08 = 2,928/x
  3. Step 3: Cross multiply
    5,165.85x = 7,129.08 × 2,928
  4. Step 4: Simplify right side
    5,165.85x = 20,873,946.24
  5. Step 5: Solve for x
    x = 20,873,946.24/5,165.85
  6. Step 6: Final answer
    x = 4,040.76

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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.