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Finding the Fourth Proportional to 3,582.99, 4,942.17 and 2,255.58

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Solution

The fourth proportional to 3,582.99, 4,942.17 and 2,255.58 is: 3,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.99 : 4,942.17 = 2,255.58 : x
  2. Step 2: Convert to fraction form
    3,582.99/4,942.17 = 2,255.58/x
  3. Step 3: Cross multiply
    3,582.99x = 4,942.17 × 2,255.58
  4. Step 4: Simplify right side
    3,582.99x = 11,147,459.81
  5. Step 5: Solve for x
    x = 11,147,459.81/3,582.99
  6. Step 6: Final answer
    x = 3,111.22

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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.