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Finding the Fourth Proportional to 6,380.84, 8,802.54 and 4,257.36

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Solution

The fourth proportional to 6,380.84, 8,802.54 and 4,257.36 is: 5,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.84 : 8,802.54 = 4,257.36 : x
  2. Step 2: Convert to fraction form
    6,380.84/8,802.54 = 4,257.36/x
  3. Step 3: Cross multiply
    6,380.84x = 8,802.54 × 4,257.36
  4. Step 4: Simplify right side
    6,380.84x = 37,475,581.69
  5. Step 5: Solve for x
    x = 37,475,581.69/6,380.84
  6. Step 6: Final answer
    x = 5,873.14

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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.