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Finding the Fourth Proportional to 3,546.51, 5,311.68 and 1,698.95

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Solution

The fourth proportional to 3,546.51, 5,311.68 and 1,698.95 is: 2,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.51 : 5,311.68 = 1,698.95 : x
  2. Step 2: Convert to fraction form
    3,546.51/5,311.68 = 1,698.95/x
  3. Step 3: Cross multiply
    3,546.51x = 5,311.68 × 1,698.95
  4. Step 4: Simplify right side
    3,546.51x = 9,024,270.71
  5. Step 5: Solve for x
    x = 9,024,270.71/3,546.51
  6. Step 6: Final answer
    x = 2,544.55

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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.