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Finding the Fourth Proportional to 4,954.35, 6,825.51 and 3,459.90

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Solution

The fourth proportional to 4,954.35, 6,825.51 and 3,459.90 is: 4,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.35 : 6,825.51 = 3,459.90 : x
  2. Step 2: Convert to fraction form
    4,954.35/6,825.51 = 3,459.90/x
  3. Step 3: Cross multiply
    4,954.35x = 6,825.51 × 3,459.90
  4. Step 4: Simplify right side
    4,954.35x = 23,615,582.05
  5. Step 5: Solve for x
    x = 23,615,582.05/4,954.35
  6. Step 6: Final answer
    x = 4,766.64

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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.