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Finding the Fourth Proportional to 3,574.29, 5,362.53 and 1,601.58

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Solution

The fourth proportional to 3,574.29, 5,362.53 and 1,601.58 is: 2,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.29 : 5,362.53 = 1,601.58 : x
  2. Step 2: Convert to fraction form
    3,574.29/5,362.53 = 1,601.58/x
  3. Step 3: Cross multiply
    3,574.29x = 5,362.53 × 1,601.58
  4. Step 4: Simplify right side
    3,574.29x = 8,588,493.98
  5. Step 5: Solve for x
    x = 8,588,493.98/3,574.29
  6. Step 6: Final answer
    x = 2,402.86

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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.