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Finding the Fourth Proportional to 4,302.90, 5,933.43 and 3,405.15

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Solution

The fourth proportional to 4,302.90, 5,933.43 and 3,405.15 is: 4,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.90 : 5,933.43 = 3,405.15 : x
  2. Step 2: Convert to fraction form
    4,302.90/5,933.43 = 3,405.15/x
  3. Step 3: Cross multiply
    4,302.90x = 5,933.43 × 3,405.15
  4. Step 4: Simplify right side
    4,302.90x = 20,204,219.16
  5. Step 5: Solve for x
    x = 20,204,219.16/4,302.90
  6. Step 6: Final answer
    x = 4,695.49

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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.