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Finding the Fourth Proportional to 4,639.66, 6,959.50 and 1,177.18

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Solution

The fourth proportional to 4,639.66, 6,959.50 and 1,177.18 is: 1,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.66 : 6,959.50 = 1,177.18 : x
  2. Step 2: Convert to fraction form
    4,639.66/6,959.50 = 1,177.18/x
  3. Step 3: Cross multiply
    4,639.66x = 6,959.50 × 1,177.18
  4. Step 4: Simplify right side
    4,639.66x = 8,192,584.21
  5. Step 5: Solve for x
    x = 8,192,584.21/4,639.66
  6. Step 6: Final answer
    x = 1,765.77

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Why These Related Problems?

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