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Finding the Fourth Proportional to 5,165.96, 7,129.68 and 2,928.20

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Solution

The fourth proportional to 5,165.96, 7,129.68 and 2,928.20 is: 4,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.96 : 7,129.68 = 2,928.20 : x
  2. Step 2: Convert to fraction form
    5,165.96/7,129.68 = 2,928.20/x
  3. Step 3: Cross multiply
    5,165.96x = 7,129.68 × 2,928.20
  4. Step 4: Simplify right side
    5,165.96x = 20,877,128.98
  5. Step 5: Solve for x
    x = 20,877,128.98/5,165.96
  6. Step 6: Final answer
    x = 4,041.29

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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.