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Finding the Fourth Proportional to 5,654.46, 8,486.64 and 3,024.06

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Solution

The fourth proportional to 5,654.46, 8,486.64 and 3,024.06 is: 4,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.46 : 8,486.64 = 3,024.06 : x
  2. Step 2: Convert to fraction form
    5,654.46/8,486.64 = 3,024.06/x
  3. Step 3: Cross multiply
    5,654.46x = 8,486.64 × 3,024.06
  4. Step 4: Simplify right side
    5,654.46x = 25,664,108.56
  5. Step 5: Solve for x
    x = 25,664,108.56/5,654.46
  6. Step 6: Final answer
    x = 4,538.74

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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.