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Finding the Fourth Proportional to 3,709.72, 5,116.62 and 3,265.84

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Solution

The fourth proportional to 3,709.72, 5,116.62 and 3,265.84 is: 4,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.72 : 5,116.62 = 3,265.84 : x
  2. Step 2: Convert to fraction form
    3,709.72/5,116.62 = 3,265.84/x
  3. Step 3: Cross multiply
    3,709.72x = 5,116.62 × 3,265.84
  4. Step 4: Simplify right side
    3,709.72x = 16,710,062.26
  5. Step 5: Solve for x
    x = 16,710,062.26/3,709.72
  6. Step 6: Final answer
    x = 4,504.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.