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Finding the Fourth Proportional to 3,945.48, 5,916.06 and 1,864.20

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Solution

The fourth proportional to 3,945.48, 5,916.06 and 1,864.20 is: 2,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.48 : 5,916.06 = 1,864.20 : x
  2. Step 2: Convert to fraction form
    3,945.48/5,916.06 = 1,864.20/x
  3. Step 3: Cross multiply
    3,945.48x = 5,916.06 × 1,864.20
  4. Step 4: Simplify right side
    3,945.48x = 11,028,719.05
  5. Step 5: Solve for x
    x = 11,028,719.05/3,945.48
  6. Step 6: Final answer
    x = 2,795.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.