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Finding the Fourth Proportional to 3,584.26, 4,931.79 and 3,497.86

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Solution

The fourth proportional to 3,584.26, 4,931.79 and 3,497.86 is: 4,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.26 : 4,931.79 = 3,497.86 : x
  2. Step 2: Convert to fraction form
    3,584.26/4,931.79 = 3,497.86/x
  3. Step 3: Cross multiply
    3,584.26x = 4,931.79 × 3,497.86
  4. Step 4: Simplify right side
    3,584.26x = 17,250,710.97
  5. Step 5: Solve for x
    x = 17,250,710.97/3,584.26
  6. Step 6: Final answer
    x = 4,812.91

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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.