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Finding the Fourth Proportional to 4,677.45, 7,014.80 and 2,178.80

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Solution

The fourth proportional to 4,677.45, 7,014.80 and 2,178.80 is: 3,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.45 : 7,014.80 = 2,178.80 : x
  2. Step 2: Convert to fraction form
    4,677.45/7,014.80 = 2,178.80/x
  3. Step 3: Cross multiply
    4,677.45x = 7,014.80 × 2,178.80
  4. Step 4: Simplify right side
    4,677.45x = 15,283,842.92
  5. Step 5: Solve for x
    x = 15,283,842.92/4,677.45
  6. Step 6: Final answer
    x = 3,267.56

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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.