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Finding the Fourth Proportional to 3,546.61, 5,314.06 and 2,061.67

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Solution

The fourth proportional to 3,546.61, 5,314.06 and 2,061.67 is: 3,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.61 : 5,314.06 = 2,061.67 : x
  2. Step 2: Convert to fraction form
    3,546.61/5,314.06 = 2,061.67/x
  3. Step 3: Cross multiply
    3,546.61x = 5,314.06 × 2,061.67
  4. Step 4: Simplify right side
    3,546.61x = 10,955,811.51
  5. Step 5: Solve for x
    x = 10,955,811.51/3,546.61
  6. Step 6: Final answer
    x = 3,089.09

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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.