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Finding the Fourth Proportional to 3,586.00, 5,366.43 and 2,740.20

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Solution

The fourth proportional to 3,586.00, 5,366.43 and 2,740.20 is: 4,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.00 : 5,366.43 = 2,740.20 : x
  2. Step 2: Convert to fraction form
    3,586.00/5,366.43 = 2,740.20/x
  3. Step 3: Cross multiply
    3,586.00x = 5,366.43 × 2,740.20
  4. Step 4: Simplify right side
    3,586.00x = 14,705,108.93
  5. Step 5: Solve for x
    x = 14,705,108.93/3,586.00
  6. Step 6: Final answer
    x = 4,100.70

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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.