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Finding the Fourth Proportional to 5,684.58, 8,532.69 and 4,694.24

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Solution

The fourth proportional to 5,684.58, 8,532.69 and 4,694.24 is: 7,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.58 : 8,532.69 = 4,694.24 : x
  2. Step 2: Convert to fraction form
    5,684.58/8,532.69 = 4,694.24/x
  3. Step 3: Cross multiply
    5,684.58x = 8,532.69 × 4,694.24
  4. Step 4: Simplify right side
    5,684.58x = 40,054,472.30
  5. Step 5: Solve for x
    x = 40,054,472.30/5,684.58
  6. Step 6: Final answer
    x = 7,046.16

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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.