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Finding the Fourth Proportional to 3,509.31, 4,842.85 and 1,937.41

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Solution

The fourth proportional to 3,509.31, 4,842.85 and 1,937.41 is: 2,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.31 : 4,842.85 = 1,937.41 : x
  2. Step 2: Convert to fraction form
    3,509.31/4,842.85 = 1,937.41/x
  3. Step 3: Cross multiply
    3,509.31x = 4,842.85 × 1,937.41
  4. Step 4: Simplify right side
    3,509.31x = 9,382,586.02
  5. Step 5: Solve for x
    x = 9,382,586.02/3,509.31
  6. Step 6: Final answer
    x = 2,673.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.