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Finding the Fourth Proportional to 5,564, 8,346.84 and 1,814.48

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Solution

The fourth proportional to 5,564, 8,346.84 and 1,814.48 is: 2,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564 : 8,346.84 = 1,814.48 : x
  2. Step 2: Convert to fraction form
    5,564/8,346.84 = 1,814.48/x
  3. Step 3: Cross multiply
    5,564x = 8,346.84 × 1,814.48
  4. Step 4: Simplify right side
    5,564x = 15,145,174.24
  5. Step 5: Solve for x
    x = 15,145,174.24/5,564
  6. Step 6: Final answer
    x = 2,721.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.