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Finding the Fourth Proportional to 5,178.49, 7,774.51 and 3,073.96

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Solution

The fourth proportional to 5,178.49, 7,774.51 and 3,073.96 is: 4,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.49 : 7,774.51 = 3,073.96 : x
  2. Step 2: Convert to fraction form
    5,178.49/7,774.51 = 3,073.96/x
  3. Step 3: Cross multiply
    5,178.49x = 7,774.51 × 3,073.96
  4. Step 4: Simplify right side
    5,178.49x = 23,898,534.57
  5. Step 5: Solve for x
    x = 23,898,534.57/5,178.49
  6. Step 6: Final answer
    x = 4,614.96

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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.