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Finding the Fourth Proportional to 5,504.25, 8,256.51 and 1,400.25

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Solution

The fourth proportional to 5,504.25, 8,256.51 and 1,400.25 is: 2,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.25 : 8,256.51 = 1,400.25 : x
  2. Step 2: Convert to fraction form
    5,504.25/8,256.51 = 1,400.25/x
  3. Step 3: Cross multiply
    5,504.25x = 8,256.51 × 1,400.25
  4. Step 4: Simplify right side
    5,504.25x = 11,561,178.13
  5. Step 5: Solve for x
    x = 11,561,178.13/5,504.25
  6. Step 6: Final answer
    x = 2,100.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.