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Finding the Fourth Proportional to 5,600.25, 7,728.35 and 3,116.25

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Solution

The fourth proportional to 5,600.25, 7,728.35 and 3,116.25 is: 4,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.25 : 7,728.35 = 3,116.25 : x
  2. Step 2: Convert to fraction form
    5,600.25/7,728.35 = 3,116.25/x
  3. Step 3: Cross multiply
    5,600.25x = 7,728.35 × 3,116.25
  4. Step 4: Simplify right side
    5,600.25x = 24,083,455.11
  5. Step 5: Solve for x
    x = 24,083,455.11/5,600.25
  6. Step 6: Final answer
    x = 4,300.43

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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.