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Finding the Fourth Proportional to 4,321.12, 6,482.82 and 1,724.32

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Solution

The fourth proportional to 4,321.12, 6,482.82 and 1,724.32 is: 2,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.12 : 6,482.82 = 1,724.32 : x
  2. Step 2: Convert to fraction form
    4,321.12/6,482.82 = 1,724.32/x
  3. Step 3: Cross multiply
    4,321.12x = 6,482.82 × 1,724.32
  4. Step 4: Simplify right side
    4,321.12x = 11,178,456.18
  5. Step 5: Solve for x
    x = 11,178,456.18/4,321.12
  6. Step 6: Final answer
    x = 2,586.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.