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Finding the Fourth Proportional to 3,530.08, 5,295.40 and 933

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Solution

The fourth proportional to 3,530.08, 5,295.40 and 933 is: 1,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.08 : 5,295.40 = 933 : x
  2. Step 2: Convert to fraction form
    3,530.08/5,295.40 = 933/x
  3. Step 3: Cross multiply
    3,530.08x = 5,295.40 × 933
  4. Step 4: Simplify right side
    3,530.08x = 4,940,608.20
  5. Step 5: Solve for x
    x = 4,940,608.20/3,530.08
  6. Step 6: Final answer
    x = 1,399.57

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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.