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Finding the Fourth Proportional to 5,628.24, 8,445.24 and 2,549.84

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Solution

The fourth proportional to 5,628.24, 8,445.24 and 2,549.84 is: 3,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.24 : 8,445.24 = 2,549.84 : x
  2. Step 2: Convert to fraction form
    5,628.24/8,445.24 = 2,549.84/x
  3. Step 3: Cross multiply
    5,628.24x = 8,445.24 × 2,549.84
  4. Step 4: Simplify right side
    5,628.24x = 21,534,010.76
  5. Step 5: Solve for x
    x = 21,534,010.76/5,628.24
  6. Step 6: Final answer
    x = 3,826.06

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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.