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Finding the Fourth Proportional to 3,546.84, 5,320.89 and 1,206.71

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Solution

The fourth proportional to 3,546.84, 5,320.89 and 1,206.71 is: 1,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.84 : 5,320.89 = 1,206.71 : x
  2. Step 2: Convert to fraction form
    3,546.84/5,320.89 = 1,206.71/x
  3. Step 3: Cross multiply
    3,546.84x = 5,320.89 × 1,206.71
  4. Step 4: Simplify right side
    3,546.84x = 6,420,794.45
  5. Step 5: Solve for x
    x = 6,420,794.45/3,546.84
  6. Step 6: Final answer
    x = 1,810.29

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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.