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Finding the Fourth Proportional to 3,307.60, 4,961.40 and 3,161.80

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Solution

The fourth proportional to 3,307.60, 4,961.40 and 3,161.80 is: 4,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.60 : 4,961.40 = 3,161.80 : x
  2. Step 2: Convert to fraction form
    3,307.60/4,961.40 = 3,161.80/x
  3. Step 3: Cross multiply
    3,307.60x = 4,961.40 × 3,161.80
  4. Step 4: Simplify right side
    3,307.60x = 15,686,954.52
  5. Step 5: Solve for x
    x = 15,686,954.52/3,307.60
  6. Step 6: Final answer
    x = 4,742.70

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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.