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Finding the Fourth Proportional to 4,816.40, 6,649.72 and 3,934.32

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Solution

The fourth proportional to 4,816.40, 6,649.72 and 3,934.32 is: 5,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.40 : 6,649.72 = 3,934.32 : x
  2. Step 2: Convert to fraction form
    4,816.40/6,649.72 = 3,934.32/x
  3. Step 3: Cross multiply
    4,816.40x = 6,649.72 × 3,934.32
  4. Step 4: Simplify right side
    4,816.40x = 26,162,126.39
  5. Step 5: Solve for x
    x = 26,162,126.39/4,816.40
  6. Step 6: Final answer
    x = 5,431.88

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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.