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Finding the Fourth Proportional to 3,786.48, 5,225.28 and 2,214.84

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Solution

The fourth proportional to 3,786.48, 5,225.28 and 2,214.84 is: 3,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.48 : 5,225.28 = 2,214.84 : x
  2. Step 2: Convert to fraction form
    3,786.48/5,225.28 = 2,214.84/x
  3. Step 3: Cross multiply
    3,786.48x = 5,225.28 × 2,214.84
  4. Step 4: Simplify right side
    3,786.48x = 11,573,159.16
  5. Step 5: Solve for x
    x = 11,573,159.16/3,786.48
  6. Step 6: Final answer
    x = 3,056.44

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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.