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Finding the Fourth Proportional to 3,729.72, 5,595.28 and 1,263.88

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Solution

The fourth proportional to 3,729.72, 5,595.28 and 1,263.88 is: 1,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.72 : 5,595.28 = 1,263.88 : x
  2. Step 2: Convert to fraction form
    3,729.72/5,595.28 = 1,263.88/x
  3. Step 3: Cross multiply
    3,729.72x = 5,595.28 × 1,263.88
  4. Step 4: Simplify right side
    3,729.72x = 7,071,762.49
  5. Step 5: Solve for x
    x = 7,071,762.49/3,729.72
  6. Step 6: Final answer
    x = 1,896.06

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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.