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Finding the Fourth Proportional to 5,734.69, 8,602.38 and 1,574.53

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Solution

The fourth proportional to 5,734.69, 8,602.38 and 1,574.53 is: 2,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.69 : 8,602.38 = 1,574.53 : x
  2. Step 2: Convert to fraction form
    5,734.69/8,602.38 = 1,574.53/x
  3. Step 3: Cross multiply
    5,734.69x = 8,602.38 × 1,574.53
  4. Step 4: Simplify right side
    5,734.69x = 13,544,705.38
  5. Step 5: Solve for x
    x = 13,544,705.38/5,734.69
  6. Step 6: Final answer
    x = 2,361.89

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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.