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Finding the Fourth Proportional to 5,165.46, 7,128.31 and 2,927.76

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Solution

The fourth proportional to 5,165.46, 7,128.31 and 2,927.76 is: 4,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.46 : 7,128.31 = 2,927.76 : x
  2. Step 2: Convert to fraction form
    5,165.46/7,128.31 = 2,927.76/x
  3. Step 3: Cross multiply
    5,165.46x = 7,128.31 × 2,927.76
  4. Step 4: Simplify right side
    5,165.46x = 20,869,980.89
  5. Step 5: Solve for x
    x = 20,869,980.89/5,165.46
  6. Step 6: Final answer
    x = 4,040.29

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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.