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Finding the Fourth Proportional to 3,486.47, 4,817.56 and 2,593.81

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Solution

The fourth proportional to 3,486.47, 4,817.56 and 2,593.81 is: 3,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.47 : 4,817.56 = 2,593.81 : x
  2. Step 2: Convert to fraction form
    3,486.47/4,817.56 = 2,593.81/x
  3. Step 3: Cross multiply
    3,486.47x = 4,817.56 × 2,593.81
  4. Step 4: Simplify right side
    3,486.47x = 12,495,835.30
  5. Step 5: Solve for x
    x = 12,495,835.30/3,486.47
  6. Step 6: Final answer
    x = 3,584.09

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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.