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Finding the Fourth Proportional to 6,378.84, 8,803.62 and 3,584.88

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Solution

The fourth proportional to 6,378.84, 8,803.62 and 3,584.88 is: 4,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.84 : 8,803.62 = 3,584.88 : x
  2. Step 2: Convert to fraction form
    6,378.84/8,803.62 = 3,584.88/x
  3. Step 3: Cross multiply
    6,378.84x = 8,803.62 × 3,584.88
  4. Step 4: Simplify right side
    6,378.84x = 31,559,921.27
  5. Step 5: Solve for x
    x = 31,559,921.27/6,378.84
  6. Step 6: Final answer
    x = 4,947.60

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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.