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Finding the Fourth Proportional to 5,026.56, 7,539.84 and 1,563.12

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Solution

The fourth proportional to 5,026.56, 7,539.84 and 1,563.12 is: 2,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.56 : 7,539.84 = 1,563.12 : x
  2. Step 2: Convert to fraction form
    5,026.56/7,539.84 = 1,563.12/x
  3. Step 3: Cross multiply
    5,026.56x = 7,539.84 × 1,563.12
  4. Step 4: Simplify right side
    5,026.56x = 11,785,674.70
  5. Step 5: Solve for x
    x = 11,785,674.70/5,026.56
  6. Step 6: Final answer
    x = 2,344.68

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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.