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Finding the Fourth Proportional to 4,573.97, 6,312.04 and 2,584.49

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Solution

The fourth proportional to 4,573.97, 6,312.04 and 2,584.49 is: 3,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.97 : 6,312.04 = 2,584.49 : x
  2. Step 2: Convert to fraction form
    4,573.97/6,312.04 = 2,584.49/x
  3. Step 3: Cross multiply
    4,573.97x = 6,312.04 × 2,584.49
  4. Step 4: Simplify right side
    4,573.97x = 16,313,404.26
  5. Step 5: Solve for x
    x = 16,313,404.26/4,573.97
  6. Step 6: Final answer
    x = 3,566.57

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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.