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Finding the Fourth Proportional to 3,566.67, 5,350.12 and 1,486.74

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Solution

The fourth proportional to 3,566.67, 5,350.12 and 1,486.74 is: 2,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.67 : 5,350.12 = 1,486.74 : x
  2. Step 2: Convert to fraction form
    3,566.67/5,350.12 = 1,486.74/x
  3. Step 3: Cross multiply
    3,566.67x = 5,350.12 × 1,486.74
  4. Step 4: Simplify right side
    3,566.67x = 7,954,237.41
  5. Step 5: Solve for x
    x = 7,954,237.41/3,566.67
  6. Step 6: Final answer
    x = 2,230.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.