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Finding the Fourth Proportional to 4,203.96, 5,802.84 and 2,436

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Solution

The fourth proportional to 4,203.96, 5,802.84 and 2,436 is: 3,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.96 : 5,802.84 = 2,436 : x
  2. Step 2: Convert to fraction form
    4,203.96/5,802.84 = 2,436/x
  3. Step 3: Cross multiply
    4,203.96x = 5,802.84 × 2,436
  4. Step 4: Simplify right side
    4,203.96x = 14,135,718.24
  5. Step 5: Solve for x
    x = 14,135,718.24/4,203.96
  6. Step 6: Final answer
    x = 3,362.48

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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.