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Finding the Fourth Proportional to 3,533.80, 5,303.94 and 2,561.80

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Solution

The fourth proportional to 3,533.80, 5,303.94 and 2,561.80 is: 3,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.80 : 5,303.94 = 2,561.80 : x
  2. Step 2: Convert to fraction form
    3,533.80/5,303.94 = 2,561.80/x
  3. Step 3: Cross multiply
    3,533.80x = 5,303.94 × 2,561.80
  4. Step 4: Simplify right side
    3,533.80x = 13,587,633.49
  5. Step 5: Solve for x
    x = 13,587,633.49/3,533.80
  6. Step 6: Final answer
    x = 3,845.05

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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.