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Finding the Fourth Proportional to 4,093.06, 5,648.43 and 2,230.06

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Solution

The fourth proportional to 4,093.06, 5,648.43 and 2,230.06 is: 3,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.06 : 5,648.43 = 2,230.06 : x
  2. Step 2: Convert to fraction form
    4,093.06/5,648.43 = 2,230.06/x
  3. Step 3: Cross multiply
    4,093.06x = 5,648.43 × 2,230.06
  4. Step 4: Simplify right side
    4,093.06x = 12,596,337.81
  5. Step 5: Solve for x
    x = 12,596,337.81/4,093.06
  6. Step 6: Final answer
    x = 3,077.49

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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.