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Finding the Fourth Proportional to 4,574.12, 6,841.82 and 3,862.44

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Solution

The fourth proportional to 4,574.12, 6,841.82 and 3,862.44 is: 5,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.12 : 6,841.82 = 3,862.44 : x
  2. Step 2: Convert to fraction form
    4,574.12/6,841.82 = 3,862.44/x
  3. Step 3: Cross multiply
    4,574.12x = 6,841.82 × 3,862.44
  4. Step 4: Simplify right side
    4,574.12x = 26,426,119.24
  5. Step 5: Solve for x
    x = 26,426,119.24/4,574.12
  6. Step 6: Final answer
    x = 5,777.31

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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.