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Finding the Fourth Proportional to 3,705.28, 5,109.45 and 3,176.00

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Solution

The fourth proportional to 3,705.28, 5,109.45 and 3,176.00 is: 4,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.28 : 5,109.45 = 3,176.00 : x
  2. Step 2: Convert to fraction form
    3,705.28/5,109.45 = 3,176.00/x
  3. Step 3: Cross multiply
    3,705.28x = 5,109.45 × 3,176.00
  4. Step 4: Simplify right side
    3,705.28x = 16,227,594.90
  5. Step 5: Solve for x
    x = 16,227,594.90/3,705.28
  6. Step 6: Final answer
    x = 4,379.59

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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.