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Finding the Fourth Proportional to 5,402.84, 8,093.44 and 2,477.12

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Solution

The fourth proportional to 5,402.84, 8,093.44 and 2,477.12 is: 3,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.84 : 8,093.44 = 2,477.12 : x
  2. Step 2: Convert to fraction form
    5,402.84/8,093.44 = 2,477.12/x
  3. Step 3: Cross multiply
    5,402.84x = 8,093.44 × 2,477.12
  4. Step 4: Simplify right side
    5,402.84x = 20,048,422.09
  5. Step 5: Solve for x
    x = 20,048,422.09/5,402.84
  6. Step 6: Final answer
    x = 3,710.72

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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.