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Finding the Fourth Proportional to 3,546.59, 5,320.25 and 1,355.30

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Solution

The fourth proportional to 3,546.59, 5,320.25 and 1,355.30 is: 2,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.59 : 5,320.25 = 1,355.30 : x
  2. Step 2: Convert to fraction form
    3,546.59/5,320.25 = 1,355.30/x
  3. Step 3: Cross multiply
    3,546.59x = 5,320.25 × 1,355.30
  4. Step 4: Simplify right side
    3,546.59x = 7,210,526.48
  5. Step 5: Solve for x
    x = 7,210,526.48/3,546.59
  6. Step 6: Final answer
    x = 2,033.09

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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.