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Finding the Fourth Proportional to 3,730.76, 5,597.26 and 1,265.36

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Solution

The fourth proportional to 3,730.76, 5,597.26 and 1,265.36 is: 1,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.76 : 5,597.26 = 1,265.36 : x
  2. Step 2: Convert to fraction form
    3,730.76/5,597.26 = 1,265.36/x
  3. Step 3: Cross multiply
    3,730.76x = 5,597.26 × 1,265.36
  4. Step 4: Simplify right side
    3,730.76x = 7,082,548.91
  5. Step 5: Solve for x
    x = 7,082,548.91/3,730.76
  6. Step 6: Final answer
    x = 1,898.42

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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.