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Finding the Fourth Proportional to 3,284.60, 4,529.86 and 2,584.76

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Solution

The fourth proportional to 3,284.60, 4,529.86 and 2,584.76 is: 3,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.60 : 4,529.86 = 2,584.76 : x
  2. Step 2: Convert to fraction form
    3,284.60/4,529.86 = 2,584.76/x
  3. Step 3: Cross multiply
    3,284.60x = 4,529.86 × 2,584.76
  4. Step 4: Simplify right side
    3,284.60x = 11,708,600.93
  5. Step 5: Solve for x
    x = 11,708,600.93/3,284.60
  6. Step 6: Final answer
    x = 3,564.70

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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.