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Finding the Fourth Proportional to 3,827.51, 5,283.29 and 2,255.50

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Solution

The fourth proportional to 3,827.51, 5,283.29 and 2,255.50 is: 3,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.51 : 5,283.29 = 2,255.50 : x
  2. Step 2: Convert to fraction form
    3,827.51/5,283.29 = 2,255.50/x
  3. Step 3: Cross multiply
    3,827.51x = 5,283.29 × 2,255.50
  4. Step 4: Simplify right side
    3,827.51x = 11,916,460.60
  5. Step 5: Solve for x
    x = 11,916,460.60/3,827.51
  6. Step 6: Final answer
    x = 3,113.37

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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.