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Finding the Fourth Proportional to 3,530.12, 5,295.74 and 933.28

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Solution

The fourth proportional to 3,530.12, 5,295.74 and 933.28 is: 1,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.12 : 5,295.74 = 933.28 : x
  2. Step 2: Convert to fraction form
    3,530.12/5,295.74 = 933.28/x
  3. Step 3: Cross multiply
    3,530.12x = 5,295.74 × 933.28
  4. Step 4: Simplify right side
    3,530.12x = 4,942,408.23
  5. Step 5: Solve for x
    x = 4,942,408.23/3,530.12
  6. Step 6: Final answer
    x = 1,400.07

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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.