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Finding the Fourth Proportional to 3,402.99, 5,104.62 and 1,064.57

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Solution

The fourth proportional to 3,402.99, 5,104.62 and 1,064.57 is: 1,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.99 : 5,104.62 = 1,064.57 : x
  2. Step 2: Convert to fraction form
    3,402.99/5,104.62 = 1,064.57/x
  3. Step 3: Cross multiply
    3,402.99x = 5,104.62 × 1,064.57
  4. Step 4: Simplify right side
    3,402.99x = 5,434,199.79
  5. Step 5: Solve for x
    x = 5,434,199.79/3,402.99
  6. Step 6: Final answer
    x = 1,596.89

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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.