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Finding the Fourth Proportional to 4,651.28, 6,978.13 and 2,056.04

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Solution

The fourth proportional to 4,651.28, 6,978.13 and 2,056.04 is: 3,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.28 : 6,978.13 = 2,056.04 : x
  2. Step 2: Convert to fraction form
    4,651.28/6,978.13 = 2,056.04/x
  3. Step 3: Cross multiply
    4,651.28x = 6,978.13 × 2,056.04
  4. Step 4: Simplify right side
    4,651.28x = 14,347,314.41
  5. Step 5: Solve for x
    x = 14,347,314.41/4,651.28
  6. Step 6: Final answer
    x = 3,084.59

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Why These Related Problems?

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