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Finding the Fourth Proportional to 3,530.60, 5,295.92 and 933.52

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Solution

The fourth proportional to 3,530.60, 5,295.92 and 933.52 is: 1,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.60 : 5,295.92 = 933.52 : x
  2. Step 2: Convert to fraction form
    3,530.60/5,295.92 = 933.52/x
  3. Step 3: Cross multiply
    3,530.60x = 5,295.92 × 933.52
  4. Step 4: Simplify right side
    3,530.60x = 4,943,847.24
  5. Step 5: Solve for x
    x = 4,943,847.24/3,530.60
  6. Step 6: Final answer
    x = 1,400.29

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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.