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Finding the Fourth Proportional to 3,903.53, 5,386.51 and 2,224.49

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Solution

The fourth proportional to 3,903.53, 5,386.51 and 2,224.49 is: 3,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.53 : 5,386.51 = 2,224.49 : x
  2. Step 2: Convert to fraction form
    3,903.53/5,386.51 = 2,224.49/x
  3. Step 3: Cross multiply
    3,903.53x = 5,386.51 × 2,224.49
  4. Step 4: Simplify right side
    3,903.53x = 11,982,237.63
  5. Step 5: Solve for x
    x = 11,982,237.63/3,903.53
  6. Step 6: Final answer
    x = 3,069.59

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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.