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Finding the Fourth Proportional to 4,352.68, 6,005.76 and 2,584.88

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Solution

The fourth proportional to 4,352.68, 6,005.76 and 2,584.88 is: 3,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.68 : 6,005.76 = 2,584.88 : x
  2. Step 2: Convert to fraction form
    4,352.68/6,005.76 = 2,584.88/x
  3. Step 3: Cross multiply
    4,352.68x = 6,005.76 × 2,584.88
  4. Step 4: Simplify right side
    4,352.68x = 15,524,168.91
  5. Step 5: Solve for x
    x = 15,524,168.91/4,352.68
  6. Step 6: Final answer
    x = 3,566.58

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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.