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Finding the Fourth Proportional to 3,530.65, 5,296.19 and 933.59

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Solution

The fourth proportional to 3,530.65, 5,296.19 and 933.59 is: 1,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.65 : 5,296.19 = 933.59 : x
  2. Step 2: Convert to fraction form
    3,530.65/5,296.19 = 933.59/x
  3. Step 3: Cross multiply
    3,530.65x = 5,296.19 × 933.59
  4. Step 4: Simplify right side
    3,530.65x = 4,944,470.02
  5. Step 5: Solve for x
    x = 4,944,470.02/3,530.65
  6. Step 6: Final answer
    x = 1,400.44

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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.