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Finding the Fourth Proportional to 5,672.16, 7,826.40 and 3,313.60

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Solution

The fourth proportional to 5,672.16, 7,826.40 and 3,313.60 is: 4,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.16 : 7,826.40 = 3,313.60 : x
  2. Step 2: Convert to fraction form
    5,672.16/7,826.40 = 3,313.60/x
  3. Step 3: Cross multiply
    5,672.16x = 7,826.40 × 3,313.60
  4. Step 4: Simplify right side
    5,672.16x = 25,933,559.04
  5. Step 5: Solve for x
    x = 25,933,559.04/5,672.16
  6. Step 6: Final answer
    x = 4,572.08

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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.