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Finding the Fourth Proportional to 5,073, 7,609.26 and 1,609.80

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Solution

The fourth proportional to 5,073, 7,609.26 and 1,609.80 is: 2,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073 : 7,609.26 = 1,609.80 : x
  2. Step 2: Convert to fraction form
    5,073/7,609.26 = 1,609.80/x
  3. Step 3: Cross multiply
    5,073x = 7,609.26 × 1,609.80
  4. Step 4: Simplify right side
    5,073x = 12,249,386.75
  5. Step 5: Solve for x
    x = 12,249,386.75/5,073
  6. Step 6: Final answer
    x = 2,414.62

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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.