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Finding the Fourth Proportional to 4,639.56, 6,959.16 and 1,176.78

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Solution

The fourth proportional to 4,639.56, 6,959.16 and 1,176.78 is: 1,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.56 : 6,959.16 = 1,176.78 : x
  2. Step 2: Convert to fraction form
    4,639.56/6,959.16 = 1,176.78/x
  3. Step 3: Cross multiply
    4,639.56x = 6,959.16 × 1,176.78
  4. Step 4: Simplify right side
    4,639.56x = 8,189,400.30
  5. Step 5: Solve for x
    x = 8,189,400.30/4,639.56
  6. Step 6: Final answer
    x = 1,765.12

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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.