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Finding the Fourth Proportional to 3,797.35, 5,693.29 and 2,561.70

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Solution

The fourth proportional to 3,797.35, 5,693.29 and 2,561.70 is: 3,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.35 : 5,693.29 = 2,561.70 : x
  2. Step 2: Convert to fraction form
    3,797.35/5,693.29 = 2,561.70/x
  3. Step 3: Cross multiply
    3,797.35x = 5,693.29 × 2,561.70
  4. Step 4: Simplify right side
    3,797.35x = 14,584,459.72
  5. Step 5: Solve for x
    x = 14,584,459.72/3,797.35
  6. Step 6: Final answer
    x = 3,840.69

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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.