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Finding the Fourth Proportional to 4,714.60, 6,505.70 and 2,724.88

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Solution

The fourth proportional to 4,714.60, 6,505.70 and 2,724.88 is: 3,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.60 : 6,505.70 = 2,724.88 : x
  2. Step 2: Convert to fraction form
    4,714.60/6,505.70 = 2,724.88/x
  3. Step 3: Cross multiply
    4,714.60x = 6,505.70 × 2,724.88
  4. Step 4: Simplify right side
    4,714.60x = 17,727,251.82
  5. Step 5: Solve for x
    x = 17,727,251.82/4,714.60
  6. Step 6: Final answer
    x = 3,760.08

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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.