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Finding the Fourth Proportional to 5,119.13, 7,678.67 and 1,609.40

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Solution

The fourth proportional to 5,119.13, 7,678.67 and 1,609.40 is: 2,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.13 : 7,678.67 = 1,609.40 : x
  2. Step 2: Convert to fraction form
    5,119.13/7,678.67 = 1,609.40/x
  3. Step 3: Cross multiply
    5,119.13x = 7,678.67 × 1,609.40
  4. Step 4: Simplify right side
    5,119.13x = 12,358,051.50
  5. Step 5: Solve for x
    x = 12,358,051.50/5,119.13
  6. Step 6: Final answer
    x = 2,414.09

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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.