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Finding the Fourth Proportional to 4,382.02, 6,565.60 and 2,647

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Solution

The fourth proportional to 4,382.02, 6,565.60 and 2,647 is: 3,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.02 : 6,565.60 = 2,647 : x
  2. Step 2: Convert to fraction form
    4,382.02/6,565.60 = 2,647/x
  3. Step 3: Cross multiply
    4,382.02x = 6,565.60 × 2,647
  4. Step 4: Simplify right side
    4,382.02x = 17,379,143.20
  5. Step 5: Solve for x
    x = 17,379,143.20/4,382.02
  6. Step 6: Final answer
    x = 3,966.01

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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.