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Finding the Fourth Proportional to 4,714.20, 6,505.16 and 2,724.74

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Solution

The fourth proportional to 4,714.20, 6,505.16 and 2,724.74 is: 3,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.20 : 6,505.16 = 2,724.74 : x
  2. Step 2: Convert to fraction form
    4,714.20/6,505.16 = 2,724.74/x
  3. Step 3: Cross multiply
    4,714.20x = 6,505.16 × 2,724.74
  4. Step 4: Simplify right side
    4,714.20x = 17,724,863.23
  5. Step 5: Solve for x
    x = 17,724,863.23/4,714.20
  6. Step 6: Final answer
    x = 3,759.89

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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.