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Finding the Fourth Proportional to 3,365.09, 5,049.50 and 1,417.25

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Solution

The fourth proportional to 3,365.09, 5,049.50 and 1,417.25 is: 2,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.09 : 5,049.50 = 1,417.25 : x
  2. Step 2: Convert to fraction form
    3,365.09/5,049.50 = 1,417.25/x
  3. Step 3: Cross multiply
    3,365.09x = 5,049.50 × 1,417.25
  4. Step 4: Simplify right side
    3,365.09x = 7,156,396.79
  5. Step 5: Solve for x
    x = 7,156,396.79/3,365.09
  6. Step 6: Final answer
    x = 2,126.66

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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.