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Finding the Fourth Proportional to 3,735.34, 5,602.08 and 1,138.24

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Solution

The fourth proportional to 3,735.34, 5,602.08 and 1,138.24 is: 1,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.34 : 5,602.08 = 1,138.24 : x
  2. Step 2: Convert to fraction form
    3,735.34/5,602.08 = 1,138.24/x
  3. Step 3: Cross multiply
    3,735.34x = 5,602.08 × 1,138.24
  4. Step 4: Simplify right side
    3,735.34x = 6,376,511.54
  5. Step 5: Solve for x
    x = 6,376,511.54/3,735.34
  6. Step 6: Final answer
    x = 1,707.08

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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.