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Finding the Fourth Proportional to 4,118.42, 5,683.42 and 2,230.01

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Solution

The fourth proportional to 4,118.42, 5,683.42 and 2,230.01 is: 3,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.42 : 5,683.42 = 2,230.01 : x
  2. Step 2: Convert to fraction form
    4,118.42/5,683.42 = 2,230.01/x
  3. Step 3: Cross multiply
    4,118.42x = 5,683.42 × 2,230.01
  4. Step 4: Simplify right side
    4,118.42x = 12,674,072.28
  5. Step 5: Solve for x
    x = 12,674,072.28/4,118.42
  6. Step 6: Final answer
    x = 3,077.42

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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.