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Finding the Fourth Proportional to 3,430.28, 4,753.70 and 3,364.64

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Solution

The fourth proportional to 3,430.28, 4,753.70 and 3,364.64 is: 4,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.28 : 4,753.70 = 3,364.64 : x
  2. Step 2: Convert to fraction form
    3,430.28/4,753.70 = 3,364.64/x
  3. Step 3: Cross multiply
    3,430.28x = 4,753.70 × 3,364.64
  4. Step 4: Simplify right side
    3,430.28x = 15,994,489.17
  5. Step 5: Solve for x
    x = 15,994,489.17/3,430.28
  6. Step 6: Final answer
    x = 4,662.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.