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Finding the Fourth Proportional to 6,278.40, 8,661.80 and 3,624.84

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Solution

The fourth proportional to 6,278.40, 8,661.80 and 3,624.84 is: 5,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.40 : 8,661.80 = 3,624.84 : x
  2. Step 2: Convert to fraction form
    6,278.40/8,661.80 = 3,624.84/x
  3. Step 3: Cross multiply
    6,278.40x = 8,661.80 × 3,624.84
  4. Step 4: Simplify right side
    6,278.40x = 31,397,639.11
  5. Step 5: Solve for x
    x = 31,397,639.11/6,278.40
  6. Step 6: Final answer
    x = 5,000.90

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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.