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Finding the Fourth Proportional to 3,530.66, 5,296.04 and 1,584.24

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Solution

The fourth proportional to 3,530.66, 5,296.04 and 1,584.24 is: 2,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.66 : 5,296.04 = 1,584.24 : x
  2. Step 2: Convert to fraction form
    3,530.66/5,296.04 = 1,584.24/x
  3. Step 3: Cross multiply
    3,530.66x = 5,296.04 × 1,584.24
  4. Step 4: Simplify right side
    3,530.66x = 8,390,198.41
  5. Step 5: Solve for x
    x = 8,390,198.41/3,530.66
  6. Step 6: Final answer
    x = 2,376.38

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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.