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Finding the Fourth Proportional to 4,724.40, 6,505.80 and 4,226.88

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Solution

The fourth proportional to 4,724.40, 6,505.80 and 4,226.88 is: 5,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.40 : 6,505.80 = 4,226.88 : x
  2. Step 2: Convert to fraction form
    4,724.40/6,505.80 = 4,226.88/x
  3. Step 3: Cross multiply
    4,724.40x = 6,505.80 × 4,226.88
  4. Step 4: Simplify right side
    4,724.40x = 27,499,235.90
  5. Step 5: Solve for x
    x = 27,499,235.90/4,724.40
  6. Step 6: Final answer
    x = 5,820.68

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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.