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Finding the Fourth Proportional to 3,916.80, 5,875.92 and 1,319.67

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Solution

The fourth proportional to 3,916.80, 5,875.92 and 1,319.67 is: 1,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.80 : 5,875.92 = 1,319.67 : x
  2. Step 2: Convert to fraction form
    3,916.80/5,875.92 = 1,319.67/x
  3. Step 3: Cross multiply
    3,916.80x = 5,875.92 × 1,319.67
  4. Step 4: Simplify right side
    3,916.80x = 7,754,275.35
  5. Step 5: Solve for x
    x = 7,754,275.35/3,916.80
  6. Step 6: Final answer
    x = 1,979.75

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