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Finding the Fourth Proportional to 5,665.19, 7,814.12 and 3,423.20

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Solution

The fourth proportional to 5,665.19, 7,814.12 and 3,423.20 is: 4,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.19 : 7,814.12 = 3,423.20 : x
  2. Step 2: Convert to fraction form
    5,665.19/7,814.12 = 3,423.20/x
  3. Step 3: Cross multiply
    5,665.19x = 7,814.12 × 3,423.20
  4. Step 4: Simplify right side
    5,665.19x = 26,749,239.40
  5. Step 5: Solve for x
    x = 26,749,239.40/5,665.19
  6. Step 6: Final answer
    x = 4,721.69

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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.