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Finding the Fourth Proportional to 3,485.43, 5,228.37 and 1,537.65

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Solution

The fourth proportional to 3,485.43, 5,228.37 and 1,537.65 is: 2,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.43 : 5,228.37 = 1,537.65 : x
  2. Step 2: Convert to fraction form
    3,485.43/5,228.37 = 1,537.65/x
  3. Step 3: Cross multiply
    3,485.43x = 5,228.37 × 1,537.65
  4. Step 4: Simplify right side
    3,485.43x = 8,039,403.13
  5. Step 5: Solve for x
    x = 8,039,403.13/3,485.43
  6. Step 6: Final answer
    x = 2,306.57

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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.