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Finding the Fourth Proportional to 5,402.44, 8,102.76 and 1,507.24

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Solution

The fourth proportional to 5,402.44, 8,102.76 and 1,507.24 is: 2,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.44 : 8,102.76 = 1,507.24 : x
  2. Step 2: Convert to fraction form
    5,402.44/8,102.76 = 1,507.24/x
  3. Step 3: Cross multiply
    5,402.44x = 8,102.76 × 1,507.24
  4. Step 4: Simplify right side
    5,402.44x = 12,212,803.98
  5. Step 5: Solve for x
    x = 12,212,803.98/5,402.44
  6. Step 6: Final answer
    x = 2,260.61

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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.