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Finding the Fourth Proportional to 3,208.63, 4,427.98 and 1,792.24

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Solution

The fourth proportional to 3,208.63, 4,427.98 and 1,792.24 is: 2,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.63 : 4,427.98 = 1,792.24 : x
  2. Step 2: Convert to fraction form
    3,208.63/4,427.98 = 1,792.24/x
  3. Step 3: Cross multiply
    3,208.63x = 4,427.98 × 1,792.24
  4. Step 4: Simplify right side
    3,208.63x = 7,935,971.77
  5. Step 5: Solve for x
    x = 7,935,971.77/3,208.63
  6. Step 6: Final answer
    x = 2,473.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.