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Finding the Fourth Proportional to 3,730.39, 5,596.20 and 1,265.50

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Solution

The fourth proportional to 3,730.39, 5,596.20 and 1,265.50 is: 1,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.39 : 5,596.20 = 1,265.50 : x
  2. Step 2: Convert to fraction form
    3,730.39/5,596.20 = 1,265.50/x
  3. Step 3: Cross multiply
    3,730.39x = 5,596.20 × 1,265.50
  4. Step 4: Simplify right side
    3,730.39x = 7,081,991.10
  5. Step 5: Solve for x
    x = 7,081,991.10/3,730.39
  6. Step 6: Final answer
    x = 1,898.46

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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.