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Finding the Fourth Proportional to 4,333.82, 6,500.01 and 1,214.15

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Solution

The fourth proportional to 4,333.82, 6,500.01 and 1,214.15 is: 1,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.82 : 6,500.01 = 1,214.15 : x
  2. Step 2: Convert to fraction form
    4,333.82/6,500.01 = 1,214.15/x
  3. Step 3: Cross multiply
    4,333.82x = 6,500.01 × 1,214.15
  4. Step 4: Simplify right side
    4,333.82x = 7,891,987.14
  5. Step 5: Solve for x
    x = 7,891,987.14/4,333.82
  6. Step 6: Final answer
    x = 1,821.02

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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.