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Finding the Fourth Proportional to 6,378.58, 8,802.65 and 3,861.14

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Solution

The fourth proportional to 6,378.58, 8,802.65 and 3,861.14 is: 5,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.58 : 8,802.65 = 3,861.14 : x
  2. Step 2: Convert to fraction form
    6,378.58/8,802.65 = 3,861.14/x
  3. Step 3: Cross multiply
    6,378.58x = 8,802.65 × 3,861.14
  4. Step 4: Simplify right side
    6,378.58x = 33,988,244.72
  5. Step 5: Solve for x
    x = 33,988,244.72/6,378.58
  6. Step 6: Final answer
    x = 5,328.50

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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.