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Finding the Fourth Proportional to 3,467.52, 5,202 and 1,823.16

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Solution

The fourth proportional to 3,467.52, 5,202 and 1,823.16 is: 2,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.52 : 5,202 = 1,823.16 : x
  2. Step 2: Convert to fraction form
    3,467.52/5,202 = 1,823.16/x
  3. Step 3: Cross multiply
    3,467.52x = 5,202 × 1,823.16
  4. Step 4: Simplify right side
    3,467.52x = 9,484,078.32
  5. Step 5: Solve for x
    x = 9,484,078.32/3,467.52
  6. Step 6: Final answer
    x = 2,735.12

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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.