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Finding the Fourth Proportional to 4,573.63, 6,314.70 and 2,872.86

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Solution

The fourth proportional to 4,573.63, 6,314.70 and 2,872.86 is: 3,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.63 : 6,314.70 = 2,872.86 : x
  2. Step 2: Convert to fraction form
    4,573.63/6,314.70 = 2,872.86/x
  3. Step 3: Cross multiply
    4,573.63x = 6,314.70 × 2,872.86
  4. Step 4: Simplify right side
    4,573.63x = 18,141,249.04
  5. Step 5: Solve for x
    x = 18,141,249.04/4,573.63
  6. Step 6: Final answer
    x = 3,966.49

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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.