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Finding the Fourth Proportional to 3,485.84, 4,810.92 and 2,247.44

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Solution

The fourth proportional to 3,485.84, 4,810.92 and 2,247.44 is: 3,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.84 : 4,810.92 = 2,247.44 : x
  2. Step 2: Convert to fraction form
    3,485.84/4,810.92 = 2,247.44/x
  3. Step 3: Cross multiply
    3,485.84x = 4,810.92 × 2,247.44
  4. Step 4: Simplify right side
    3,485.84x = 10,812,254.04
  5. Step 5: Solve for x
    x = 10,812,254.04/3,485.84
  6. Step 6: Final answer
    x = 3,101.76

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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.