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Finding the Fourth Proportional to 4,498.25, 6,743.29 and 1,574.96

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Solution

The fourth proportional to 4,498.25, 6,743.29 and 1,574.96 is: 2,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.25 : 6,743.29 = 1,574.96 : x
  2. Step 2: Convert to fraction form
    4,498.25/6,743.29 = 1,574.96/x
  3. Step 3: Cross multiply
    4,498.25x = 6,743.29 × 1,574.96
  4. Step 4: Simplify right side
    4,498.25x = 10,620,370.43
  5. Step 5: Solve for x
    x = 10,620,370.43/4,498.25
  6. Step 6: Final answer
    x = 2,361.00

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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.