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Finding the Fourth Proportional to 4,639.18, 6,958.80 and 1,176.42

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Solution

The fourth proportional to 4,639.18, 6,958.80 and 1,176.42 is: 1,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.18 : 6,958.80 = 1,176.42 : x
  2. Step 2: Convert to fraction form
    4,639.18/6,958.80 = 1,176.42/x
  3. Step 3: Cross multiply
    4,639.18x = 6,958.80 × 1,176.42
  4. Step 4: Simplify right side
    4,639.18x = 8,186,471.50
  5. Step 5: Solve for x
    x = 8,186,471.50/4,639.18
  6. Step 6: Final answer
    x = 1,764.64

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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.