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Finding the Fourth Proportional to 3,730.96, 5,595.96 and 1,265.68

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Solution

The fourth proportional to 3,730.96, 5,595.96 and 1,265.68 is: 1,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.96 : 5,595.96 = 1,265.68 : x
  2. Step 2: Convert to fraction form
    3,730.96/5,595.96 = 1,265.68/x
  3. Step 3: Cross multiply
    3,730.96x = 5,595.96 × 1,265.68
  4. Step 4: Simplify right side
    3,730.96x = 7,082,694.65
  5. Step 5: Solve for x
    x = 7,082,694.65/3,730.96
  6. Step 6: Final answer
    x = 1,898.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.