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Finding the Fourth Proportional to 3,530.64, 5,295.60 and 933.84

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Solution

The fourth proportional to 3,530.64, 5,295.60 and 933.84 is: 1,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.64 : 5,295.60 = 933.84 : x
  2. Step 2: Convert to fraction form
    3,530.64/5,295.60 = 933.84/x
  3. Step 3: Cross multiply
    3,530.64x = 5,295.60 × 933.84
  4. Step 4: Simplify right side
    3,530.64x = 4,945,243.10
  5. Step 5: Solve for x
    x = 4,945,243.10/3,530.64
  6. Step 6: Final answer
    x = 1,400.66

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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.