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Finding the Fourth Proportional to 5,415.18, 7,472.81 and 3,178.17

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Solution

The fourth proportional to 5,415.18, 7,472.81 and 3,178.17 is: 4,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.18 : 7,472.81 = 3,178.17 : x
  2. Step 2: Convert to fraction form
    5,415.18/7,472.81 = 3,178.17/x
  3. Step 3: Cross multiply
    5,415.18x = 7,472.81 × 3,178.17
  4. Step 4: Simplify right side
    5,415.18x = 23,749,844.67
  5. Step 5: Solve for x
    x = 23,749,844.67/5,415.18
  6. Step 6: Final answer
    x = 4,385.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.