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Finding the Fourth Proportional to 6,480.75, 8,943.89 and 3,648.40

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Solution

The fourth proportional to 6,480.75, 8,943.89 and 3,648.40 is: 5,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.75 : 8,943.89 = 3,648.40 : x
  2. Step 2: Convert to fraction form
    6,480.75/8,943.89 = 3,648.40/x
  3. Step 3: Cross multiply
    6,480.75x = 8,943.89 × 3,648.40
  4. Step 4: Simplify right side
    6,480.75x = 32,630,888.28
  5. Step 5: Solve for x
    x = 32,630,888.28/6,480.75
  6. Step 6: Final answer
    x = 5,035.05

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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.