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Finding the Fourth Proportional to 4,079.66, 6,119.50 and 1,117.89

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Solution

The fourth proportional to 4,079.66, 6,119.50 and 1,117.89 is: 1,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,079.66 : 6,119.50 = 1,117.89 : x
  2. Step 2: Convert to fraction form
    4,079.66/6,119.50 = 1,117.89/x
  3. Step 3: Cross multiply
    4,079.66x = 6,119.50 × 1,117.89
  4. Step 4: Simplify right side
    4,079.66x = 6,840,922.27
  5. Step 5: Solve for x
    x = 6,840,922.27/4,079.66
  6. Step 6: Final answer
    x = 1,676.84

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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.