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Finding the Fourth Proportional to 3,490.75, 5,237.07 and 1,182.25

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Solution

The fourth proportional to 3,490.75, 5,237.07 and 1,182.25 is: 1,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.75 : 5,237.07 = 1,182.25 : x
  2. Step 2: Convert to fraction form
    3,490.75/5,237.07 = 1,182.25/x
  3. Step 3: Cross multiply
    3,490.75x = 5,237.07 × 1,182.25
  4. Step 4: Simplify right side
    3,490.75x = 6,191,526.01
  5. Step 5: Solve for x
    x = 6,191,526.01/3,490.75
  6. Step 6: Final answer
    x = 1,773.70

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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.