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Finding the Fourth Proportional to 3,917.37, 5,875.65 and 1,452.54

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Solution

The fourth proportional to 3,917.37, 5,875.65 and 1,452.54 is: 2,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.37 : 5,875.65 = 1,452.54 : x
  2. Step 2: Convert to fraction form
    3,917.37/5,875.65 = 1,452.54/x
  3. Step 3: Cross multiply
    3,917.37x = 5,875.65 × 1,452.54
  4. Step 4: Simplify right side
    3,917.37x = 8,534,616.65
  5. Step 5: Solve for x
    x = 8,534,616.65/3,917.37
  6. Step 6: Final answer
    x = 2,178.66

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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.