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Finding the Fourth Proportional to 3,584.64, 4,918.60 and 3,486.72

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Solution

The fourth proportional to 3,584.64, 4,918.60 and 3,486.72 is: 4,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.64 : 4,918.60 = 3,486.72 : x
  2. Step 2: Convert to fraction form
    3,584.64/4,918.60 = 3,486.72/x
  3. Step 3: Cross multiply
    3,584.64x = 4,918.60 × 3,486.72
  4. Step 4: Simplify right side
    3,584.64x = 17,149,780.99
  5. Step 5: Solve for x
    x = 17,149,780.99/3,584.64
  6. Step 6: Final answer
    x = 4,784.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.