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Finding the Fourth Proportional to 3,480.68, 5,219.64 and 1,531.50

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Solution

The fourth proportional to 3,480.68, 5,219.64 and 1,531.50 is: 2,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.68 : 5,219.64 = 1,531.50 : x
  2. Step 2: Convert to fraction form
    3,480.68/5,219.64 = 1,531.50/x
  3. Step 3: Cross multiply
    3,480.68x = 5,219.64 × 1,531.50
  4. Step 4: Simplify right side
    3,480.68x = 7,993,878.66
  5. Step 5: Solve for x
    x = 7,993,878.66/3,480.68
  6. Step 6: Final answer
    x = 2,296.65

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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.