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Finding the Fourth Proportional to 5,333.91, 8,005.14 and 2,412.47

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Solution

The fourth proportional to 5,333.91, 8,005.14 and 2,412.47 is: 3,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.91 : 8,005.14 = 2,412.47 : x
  2. Step 2: Convert to fraction form
    5,333.91/8,005.14 = 2,412.47/x
  3. Step 3: Cross multiply
    5,333.91x = 8,005.14 × 2,412.47
  4. Step 4: Simplify right side
    5,333.91x = 19,312,120.07
  5. Step 5: Solve for x
    x = 19,312,120.07/5,333.91
  6. Step 6: Final answer
    x = 3,620.63

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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.