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Finding the Fourth Proportional to 3,733.91, 5,597.89 and 2,560.35

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Solution

The fourth proportional to 3,733.91, 5,597.89 and 2,560.35 is: 3,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.91 : 5,597.89 = 2,560.35 : x
  2. Step 2: Convert to fraction form
    3,733.91/5,597.89 = 2,560.35/x
  3. Step 3: Cross multiply
    3,733.91x = 5,597.89 × 2,560.35
  4. Step 4: Simplify right side
    3,733.91x = 14,332,551.26
  5. Step 5: Solve for x
    x = 14,332,551.26/3,733.91
  6. Step 6: Final answer
    x = 3,838.49

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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.