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Finding the Fourth Proportional to 4,068.96, 5,614.81 and 2,300.19

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Solution

The fourth proportional to 4,068.96, 5,614.81 and 2,300.19 is: 3,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.96 : 5,614.81 = 2,300.19 : x
  2. Step 2: Convert to fraction form
    4,068.96/5,614.81 = 2,300.19/x
  3. Step 3: Cross multiply
    4,068.96x = 5,614.81 × 2,300.19
  4. Step 4: Simplify right side
    4,068.96x = 12,915,129.81
  5. Step 5: Solve for x
    x = 12,915,129.81/4,068.96
  6. Step 6: Final answer
    x = 3,174.06

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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.