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Finding the Fourth Proportional to 3,483.12, 5,224.56 and 1,174.64

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Solution

The fourth proportional to 3,483.12, 5,224.56 and 1,174.64 is: 1,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.12 : 5,224.56 = 1,174.64 : x
  2. Step 2: Convert to fraction form
    3,483.12/5,224.56 = 1,174.64/x
  3. Step 3: Cross multiply
    3,483.12x = 5,224.56 × 1,174.64
  4. Step 4: Simplify right side
    3,483.12x = 6,136,977.16
  5. Step 5: Solve for x
    x = 6,136,977.16/3,483.12
  6. Step 6: Final answer
    x = 1,761.92

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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.