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Finding the Fourth Proportional to 3,490.54, 5,236.95 and 1,025.38

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Solution

The fourth proportional to 3,490.54, 5,236.95 and 1,025.38 is: 1,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.54 : 5,236.95 = 1,025.38 : x
  2. Step 2: Convert to fraction form
    3,490.54/5,236.95 = 1,025.38/x
  3. Step 3: Cross multiply
    3,490.54x = 5,236.95 × 1,025.38
  4. Step 4: Simplify right side
    3,490.54x = 5,369,888.91
  5. Step 5: Solve for x
    x = 5,369,888.91/3,490.54
  6. Step 6: Final answer
    x = 1,538.41

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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.