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Finding the Fourth Proportional to 3,566.45, 5,349.96 and 933.95

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Solution

The fourth proportional to 3,566.45, 5,349.96 and 933.95 is: 1,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.45 : 5,349.96 = 933.95 : x
  2. Step 2: Convert to fraction form
    3,566.45/5,349.96 = 933.95/x
  3. Step 3: Cross multiply
    3,566.45x = 5,349.96 × 933.95
  4. Step 4: Simplify right side
    3,566.45x = 4,996,568.39
  5. Step 5: Solve for x
    x = 4,996,568.39/3,566.45
  6. Step 6: Final answer
    x = 1,400.99

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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.