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Finding the Fourth Proportional to 5,814.34, 8,720.18 and 1,654.24

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Solution

The fourth proportional to 5,814.34, 8,720.18 and 1,654.24 is: 2,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.34 : 8,720.18 = 1,654.24 : x
  2. Step 2: Convert to fraction form
    5,814.34/8,720.18 = 1,654.24/x
  3. Step 3: Cross multiply
    5,814.34x = 8,720.18 × 1,654.24
  4. Step 4: Simplify right side
    5,814.34x = 14,425,270.56
  5. Step 5: Solve for x
    x = 14,425,270.56/5,814.34
  6. Step 6: Final answer
    x = 2,480.98

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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.