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Finding the Fourth Proportional to 5,697.59, 8,549.46 and 2,775.90

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Solution

The fourth proportional to 5,697.59, 8,549.46 and 2,775.90 is: 4,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.59 : 8,549.46 = 2,775.90 : x
  2. Step 2: Convert to fraction form
    5,697.59/8,549.46 = 2,775.90/x
  3. Step 3: Cross multiply
    5,697.59x = 8,549.46 × 2,775.90
  4. Step 4: Simplify right side
    5,697.59x = 23,732,392.28
  5. Step 5: Solve for x
    x = 23,732,392.28/5,697.59
  6. Step 6: Final answer
    x = 4,165.34

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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.