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Finding the Fourth Proportional to 3,846.40, 5,309.12 and 2,275.04

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Solution

The fourth proportional to 3,846.40, 5,309.12 and 2,275.04 is: 3,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.40 : 5,309.12 = 2,275.04 : x
  2. Step 2: Convert to fraction form
    3,846.40/5,309.12 = 2,275.04/x
  3. Step 3: Cross multiply
    3,846.40x = 5,309.12 × 2,275.04
  4. Step 4: Simplify right side
    3,846.40x = 12,078,460.36
  5. Step 5: Solve for x
    x = 12,078,460.36/3,846.40
  6. Step 6: Final answer
    x = 3,140.20

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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.