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Finding the Fourth Proportional to 3,490.84, 5,237.07 and 1,025.70

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Solution

The fourth proportional to 3,490.84, 5,237.07 and 1,025.70 is: 1,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.84 : 5,237.07 = 1,025.70 : x
  2. Step 2: Convert to fraction form
    3,490.84/5,237.07 = 1,025.70/x
  3. Step 3: Cross multiply
    3,490.84x = 5,237.07 × 1,025.70
  4. Step 4: Simplify right side
    3,490.84x = 5,371,662.70
  5. Step 5: Solve for x
    x = 5,371,662.70/3,490.84
  6. Step 6: Final answer
    x = 1,538.79

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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.