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Finding the Fourth Proportional to 3,546.93, 5,320.90 and 1,207.60

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Solution

The fourth proportional to 3,546.93, 5,320.90 and 1,207.60 is: 1,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.93 : 5,320.90 = 1,207.60 : x
  2. Step 2: Convert to fraction form
    3,546.93/5,320.90 = 1,207.60/x
  3. Step 3: Cross multiply
    3,546.93x = 5,320.90 × 1,207.60
  4. Step 4: Simplify right side
    3,546.93x = 6,425,518.84
  5. Step 5: Solve for x
    x = 6,425,518.84/3,546.93
  6. Step 6: Final answer
    x = 1,811.57

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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.